Question

The length of a rectangle is 5 meters less than twice its width. If the perimeter of the rectangle is 38 meters, then what is the value of the length (in meters)?

Answer 1

Perimeter = 38

Length = 11

Width = 8

Explanation:

Given:

Length (l) = 2w - 5

Perimeter (p) = 38

Required:

Length

Solution:

= perimeter = 2 ( l + w)

= 38 = 2 ( 2w - 5 + w )

= 38 = 2 ( 2w + w - 5 )

= 38 = 2 ( 3w - 5 )

= 38 = 6w - 10

= 38 + 10 = 6w

= 48 = 6w

= 8 = w

still we don't get the length so we plug the width in length

l = 2w - 5

l = 2(8) - 5

l = 16 - 5

l = 11