Question

The length of a rectangle is five inches less than twice it’s width. If the rectangle has a perimeter of 80 inches, find the length and width.

Answer 1

Answer:

Width of the rectangle  = 15 inches

Length of the rectangle  = 25 inches

Step-by-step explanation:

Let the width of the rectangle =  k inches

So, the length of the rectangle =   (2k -5) inches

Perimeter = 80 in

Perimeter of a rectangle = 2 (Length + Width)

⇒  80 = 2(k + (2k -5)

or 80 = 6k - 10

⇒ 6k = 80 + 10 = 90

or  k = 90 / 6

⇒ k = 15

So the width of the rectangle  = k  = 15 inches

And the length of the rectangle =  2k -5 = 2 x 25  - 5 = 25 inches

Answer 2

The length of the rectangle is 25 inches and the width is 15 inches

A rectangle is a 2-dimensional object that has four sides.

The perimeter of a rectangle = 2 x (length + width)

Let w represent the width of the rectangle

Length =  2w - 5

Perimeter = 80

80 = 2 x (2w - 5 + w)

80 = 2 x (3w -5)

Divide both sides of the equation by 2

40 = 3w - 5

combine like terms

40 + 5 = 3w

45 = 3w

w = 15 inches

Length = 2(15) = 3 = 25 inches

To learn more about the perimeter of a rectangle, please check: brainly.com/question/18793958?referrer=searchResults