Question

The perimeter of a rectangle is equal to the sum of its sides.If the length of a a rectangle is twice its width and the perimeter of the rectangle is 186 feet, what is the width of the rectangle?

Answer 1

Answer: the width of the rectangle

= 31feet.

Explanation:

Perimeter of a triangle = 2( l + b)

let the width = xfeet

The length = 2x feet.

Substitute for this in the equation above,

2( 2x + x ) = 186

2(3x) = 186

Divide by 2 through

3x = 93

Divide by 3

x = 31feet. Therefore, the width of the rectangular = 31feet.

Check.

Since the length is twice the width,

L = 31 x 2

= 62feet.

Put that into the formula above

2( 62 + 31 )

2 x 93

= 186 which is the perimeter of the rectangle.