The length of a rectangular park is twice its breadth and its perimeter is 840 m. Find the area of the Park.

Question

Philoid · Accepted Answer

Given: Length of park (l) = 2 × breadth(b) = 2b

Perimeter of park = 840 m

We know that,

Perimeter of a rectangle = 2(length + breadth)

⇒ 840 m = 2(2b + b)

⇒ 420 m = 3b

⇒ b = 140m

Now,

l = 2b = 2 × 140 m = 280 m

Hence,

Area of rectangle = Length × Breadth

= 140 m × 280 m

= 39200 m²