Question

The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?
A) 47500
B) 37500
C) 57500
D) 77500

Answer 1

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Answer 2

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Here is your answer.
Let the length of the rectangular field is x m
Breadth = 60% of x
$= \frac{60}{100} \times x \\ = \frac{3x}{5}$
Perimeter of the rectangular field is
2(length + breadth) = 800
$2(x + \frac{3x}{5} ) = 800 \\ ( \frac{5x + 3x}{5} ) = \frac{800}{2} \\ \frac{8x}{5} = 400 \\ x = \frac{400 \times 5}{8} \\ x = 250$
Hence Length = 250 m
and Breadth = 3×250/5
=150 m

Area = L × B
$= 250 \times 150 \\ = 37500 \: m {}^{2}$
So Option B is your answer

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