Question

A rectangle has side lengths of (2x-5) meters and (2x+6) meters. Write a linear expression in simplest form to represent the perimeter. Find the perimeter if the value of x is 12 meters

Answer 1

P = 8x + 2

P = 98 when x = 12

Explanation:

the perimeter is 2 times width + length

P = 2(w + l)

w = 2x - 5

l = 2x + 6

replacing both terms in the perimeter:

P = 2(2x - 5 + 2x + 6)

P = 2(4x + 1)

P = 8x + 2

Evaluating P for x = 12

P = 8(12) + 2

P = 98