Question

4. The perimeter of a rectangle is 38m. If the length is 5m less than twice its width, find the dimensions
of the rectangle (length and width).
5. The perimeter of the parallelogram is 80 cm. If one side is 8cm more than the other side, find the
sides of the parallelogram.​

Answer 1

Given data :-

The perimeter of a rectangle P =38 meter. And the length is 5 meter less than twice it's width.

Find out :-

The dimensions of the rectangle.

Let, The length of the rectangle L = (2x-5)m

And, The width of the rectangle W = xm

⠀⠀⠀Now Perimeter P = 2(L+W)

⠀⠀⠀⠀⠀⠀38 = [2{x+(2x-5)}]

⠀⠀⠀⠀⠀⠀⠀⠀3x-5=19

⠀⠀3x= 24 , x = (24/3)= 8 meter

Length of the rectangle L = (2x-5)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = (2×8–5) = 11m

So, Width of Rectangle is 8m.

⠀⠀Length of Rectangle is 11m.

________________________

~hope it helps

๑Ꮇαnσgnα