3166 . The length of a rectangle is 6 feet more than the side of a square and the width of the rectangle is 6 feet less than the side of that square. If the area of the square is 64 sq feet, what is the area of the rectangle?

A. 20 sq feet
B. 30 sq feet
C. 40 sq feet
D. 28 sq feet
E. None of these

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Answer: Option D

Explanation:

Side of the square = √64 = 8 feet

So, length of the rectangle = 8 + 6 = 14 feet

Width of the rectangle = 8 - 6 = 2 feet

So, the area of the rectangle = 14 x 2 = 28 square feet.

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3167 . The length of a rectangle is increased by 25%. What percentage should the width be decreased so that the area of the rectangle remains unchanged?

A. 30%
B. 25%
C. 20%
D. 35%

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Answer: Option C

Explanation:

Hints : Let, length = 100x and width = 100y

And z% was decreased from width

So, 100x × 100y = 125x ( 100y - z)

10000xy = 12500xy - 125xz

125xz = 2500xy

z = 20y

অতএব, 20% decreased

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3168 . The length of a rectangle is increased by 50%, by what percent would the width have to be decreased to maintain same area?

A. 33.33
B. 50
C. 66.67
D. 150

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Answer: Option A

Explanation:

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3169 . The length of a rectangle is twice than that of its breadth. If the length of the rectangle is increased by 10%, while its breadth is decreased by 10% what is the percentage change in the perimeter ?

A. 3 1/3%
B. 3 2/3%
C. 4%
D. No change

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Answer: Option A

Explanation:

ধরি, breadth x unit

length 2x unit

Perimeter 2 ( 2x + x) unit = 6x unit

10% বৃদ্ধিতে , breadth ( x - 10x/100) = 9x/10 unit

10% বৃদ্ধিতে length ( 2x + 120x/100) = 11x/5

Perimeter 2 ( 9x/10 + 11x/5) unit = 2 ×31x/10 = 31x/5

Perimeter বৃদ্ধির হার ( 31x /5 - 6x / 6x × 100%) = 3 1/3 %

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3170 . The length of a rectangular field is 30 meter. A fence surrounding the field has a total lenght of 140 meter. What is the lenght (in meter) of the diagonal path of this rectangular field?

A. 40
B. 50
C. 60
D. 70

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Answer: Option B

Explanation:

To find the length of the diagonal path of a rectangular field, we can use the Pythagorean theorem. Let's denote the length of the rectangular field as "L" and the width as "W."

Given: Length of the rectangular field (L) = 30 meters Perimeter of the fence = 140 meters

The perimeter of a rectangle is given by the formula: Perimeter = 2(L + W).

We're given that the perimeter is 140 meters:

140 = 2(L + W)

Now, we can solve for W:

2(L + W) = 140

L + W = 140/2

L + W = 70

We know that L is 30 meters, so we can find W:

30 + W = 70

Subtract 30 from both sides:

W = 70 - 30

W = 40 meters

Now that we have the length (L = 30 meters) and the width (W = 40 meters), we can use the Pythagorean theorem to find the length of the diagonal path (D):

D² = L² + W²

D² = (30²) + (40²)

D² = 900 + 1600

D² = 2500

Now, take the square root of both sides to find D:

D = √2500

D = 50 meters

So, the length of the diagonal path of the rectangular field is 50 meters.

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3171 . The length of a rectangular floor is one and a half times its breadth. What is the perimeter of the floor (in meters) if its area is 216 sq. meters:

A. 40
B. 50
C. 60
D. 44

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Answer: Option C

Explanation:

Let, breadth = x

x × 3x/2 = 216

x2 = ( 216× 2) /3 = 72 × 2 = 144

x = 12

Breadth = 12

Length = 3/2 × 12 = 18

Perimeter of the floor = 2 ( 12 + 18) = 60

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3172 . The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750m^2. The length of the hall is :

A. 15m
B. 22.5m
C. 25m
D. 30m

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Answer: Option D

Explanation:

Hints : Let, tje breadth be b metre

b(b + 5) = 750

b2 + 5b - 750 = 0

b = 25, - 30

breadth = 25 meter and length = 25 + 5 = 30 meter

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3173 . The length of a rectangular plot is 20 meters more than its breadth . If the cost of fencing the plot at TK. 26.50 per meter is TK. 5300, what is the length of the plot in meters?

A. 6
B. 100
C. 75
D. 50

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Answer: Option B

Explanation:

Let length of plot = L meters, then breadth = L - 20 meters
and perimeter = 2[L + L - 20] = [4L - 40] meters
[4L - 40] * 26.50 = 5300
[4L - 40] = 5300 / 26.50 = 200
4L = 240
L = 240/4 = 60 meters.

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সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

A. 18.50 m
B. 13. 61 m
C. 17.21 m
D. 15. 51 m

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Answer: Option D

Explanation:

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

A. 4 feet
B. 6 feet
C. 8 feet
D. 12 feet

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Answer: Option C

Explanation:

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উত্তরা ব্যাংক | অ্যাসিস্ট্যান্ট অফিসার | 23-07-2022

A. Tk. 15,000
B. Tk. 15,550
C. Tk. 15,600
D. Tk. 16,500

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Answer: Option D

Explanation:

Length = 5.5m and width = 3.75 m

Area = 5.5×3.75 sq.m = 20.625 sq.m

Cost of paying = 800×20.625 = 16500 Tk.

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3177 . The length of each of square A is increased by 100 percent to make square B.Again the length of the each side of square B is increased by 50 peacent to make square C.By of the area df square A and B?

A. 75%
B. 80%
C. 85%
D. 90%

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Answer: Option B

Explanation:

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3178 . The length of one side of a square inscribed in a circle is 2. What is the area of the circle?

A. $\frac{π}{2}$
B. $π$
C. $\sqrt{2 π}$
D. $2 π$

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Answer: Option D

Explanation:

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বাংলাদেশ ব্যাংক || অফিসার (ক্যাশ) (21-07-2023) || 2023

A. 660 m2
B. 2210m2
C. 1080 m2
D. 2160 m2

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Answer: Option C

Explanation:

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3180 . The length of rectangle ABCD is 6/5th of its breadth. Its perimeter is 132. What is its area?

A. $660 M^{2}$
B. $2210 M^{2}$
C. $1080 M^{2}$
D. $2160 M^{2}$

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Answer: Option C

Explanation:

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Bangladesh Bank - Assistant Director - 2010

3166 . The length of a rectangle is 6 feet more than the side of a square and the width of the rectangle is 6 feet less than the side of that square. If the area of the square is 64 sq feet, what is the area of the rectangle?

3167 . The length of a rectangle is increased by 25%. What percentage should the width be decreased so that the area of the rectangle remains unchanged?

3168 . The length of a rectangle is increased by 50%, by what percent would the width have to be decreased to maintain same area?

3169 . The length of a rectangle is twice than that of its breadth. If the length of the rectangle is increased by 10%, while its breadth is decreased by 10% what is the percentage change in the perimeter ?

3170 . The length of a rectangular field is 30 meter. A fence surrounding the field has a total lenght of 140 meter. What is the lenght (in meter) of the diagonal path of this rectangular field?

3171 . The length of a rectangular floor is one and a half times its breadth. What is the perimeter of the floor (in meters) if its area is 216 sq. meters:

3172 . The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750m^2. The length of the hall is :

3173 . The length of a rectangular plot is 20 meters more than its breadth . If the cost of fencing the plot at TK. 26.50 per meter is TK. 5300, what is the length of the plot in meters?

3174 . The length of a rectangular plot is 3 folds its width. Half the area of the plot is covered by a playground whose area is 363 square meter . What is the length of the plot?

3175 . The length of a rectangular room is double of its breadth.If the area is 512 square inches , what is the perimeter ?

3176 . The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Tk. 800 per sq. metre.

3177 . The length of each of square A is increased by 100 percent to make square B.Again the length of the each side of square B is increased by 50 peacent to make square C.By of the area df square A and B?

3179 . The length of rectangle ABCD is 6/5th of its breadth, its perimeters 132 . Find its area.

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