Answer
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
[tex]x = \frac{46}{4}[/tex]
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 .