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1. If the length of a rectangular field is 30 feet more than its width and the perimeter is 380 feet, the area of the field is (in sq. feet):
- A. 11400
- B. 11400
- C. 11400
- D. 11400
Answer: Option B
Explanation:
Let, the width = x feet
the length = x + 30 feet
We know, perimeter = 2(Length + breadth)
Perimeter = 2(x + 30 + x)
According to the question
2(x + 30 +x) = 380
=> 4x + 60 = 380
=> 4x = 380 – 60
x = 80 feet.
The length is = 80 + 30 = 110 feet
Area =110 x 80 Sq. feet
= 8,800 Sq. feet
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