Question

Olivia wants to trim a lampshade with braid. The lampshade is shaped like a rectangular prism. The length of the base of the lampshade is 4 inches greater than its width. If the perimeter of the base is 54 inches, find the length of the base

Answer 1

Find out the length of the base .

To prove

Formula

Perimeter of the rectangular base = 2(Length + Breadth)

As given

Olivia wants to trim a lampshade with braid.

The lampshade is shaped like a rectangular prism.

The length of the base of the lampshade is 4 inches greater than its width.

Let us assume that the width be = x

Let us assume that the Length be = x + 4

If the perimeter of the base is 54 inches,

Put in the formula

54 = 2(x + x + 4)

54 = 2 (2x + 4)

54 = 4x + 8

54 - 8 = 4x

46 = 4x

`x = (46)/(4)`

x = 11.5

Length of the base = x + 4

= 11.5 + 4

= 15.5 inches

Therefore the length of the base is 15.5 inches .