Question

The width of a rectangle is 6 m shorter than its length. If the perimeter of the rectangle is 52 m, find its length and width.

length = 16 m, width = 22 m

length = 29 m, width = 23 m

length = 29 m, width = 35 m

length = 16 m, width = 10 m

Answer 1

Length = 16 m , width = 10 m

Explanation:

Let the Length of the rectangle be L meters.

Now, Width of the rectangle is (L-6) m.

Perimeter of the Rectangle = 52 m

Now, we know that

Perimeter of the Rectangle = 2(L+W)

⇒ 2(L+W) = 52 m

or, 2(L + (L-6)) = 52 m

Simplifying, we get 2L + 2L -12 = 52

or, 4L = 64

or, L = 16 m

So, width = L- 6 = (16-6) m = 10 m

So, length = 16 m

and width = 10 m