Question

The length of rectangle is one more than four times the width. If the perimeter is 62 meters, find the dimensions of the rectangle.

Answer 1

length = 25 m

width = 6 m

Explanation:

The perimeter of a rectangle is represented by the formula;

P = 2l + 2w

where

p is the perimeter

l is the length of the rectangle

w is the width of the rectangle

From the question

P = 62 m

The length of rectangle is one more than four times the width, this can be represented as;

`l = 1 + 4w`

Substituting it into the main equation we have;

`62 = 2(1 + 4w) + 2w \\ 62 = 2 + 8w + 2w \\ 62 - 2 = 8w + 2w \\ 60 = 10w \\ (60)/(10) = (10w)/(10) \\ \therefore \: w = 6`

The width of the rectangle is 6 m , substituting the value of the w into the equation l = 1+2w we have;

`l = 1 + 4(6) = 1 + 24 = 25 \\ \therefore l = 25`

Therefore the length of the rectangle is 25 m