The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m, find out the area of the field.
37500 m2
30500 m2
32500 m2
40000 m2
Explanation:
Given that breadth of a rectangular field is 60% of its length
$\Rightarrow b = \dfrac{60l}{100} = \dfrac{3l}{5}$
perimeter of the field = 800 m
=> 2 (l + b) = 800
$\Rightarrow 2\left(l + \dfrac{3l}{5} \right)=800$
$\Rightarrow l + \dfrac{3l}{5} = 400$
$\Rightarrow \dfrac{8l}{5} = 400$
$\Rightarrow \dfrac{l}{5} = 50$
$\Rightarrow l = 5 \times 50 = 250\text{ m}$
$\text{b = }\dfrac{3l}{5} = \dfrac{3 \times 250}{5} = 3 \times 50 = 150\text{ m}$
Area = $\text{lb = }250 \times 150 = 37500\text{ m}^2$