Question

The width of a rectangle is 5x-2.5 feet and the length is 2.5x+8. what is the perimeter of the rectangle

Answer 1

The perimeter of the rectangle is 15x + 11 feet.

Step-by-step explanation:

To find the perimeter of a rectangle, you need to add up all the sides. The formula for the perimeter of a rectangle is P = 2(w + l), where P is the perimeter, w is the width, and l is the length.

In this case, the width is 5x - 2.5 feet and the length is 2.5x + 8 feet. Substitute these values into the formula:

P = 2[(5x - 2.5) + (2.5x + 8)]

Simplify:

P = 2(7.5x + 5.5)

P = 15x + 11

So, the perimeter of the rectangle is 15x + 11 feet.

Answer 2

l= 2.5x + 8
w= 5x - 2.5

Perimeter= 2l + 2w
substitute values above for l and w

P= 2(5x - 2.5) + 2(2.5x + 8)
multiply outer #s by all in parentheses

P=(2*5x) + (2*-2.5) + (2*2.5x) + (2*8)
P=10x - 5 + 5x + 16

combine like terms
P=15x + 11

ANSWER: P= 15x + 11

Hope this helps! :)