Question

Write an equation to model each situation and solve. Be sure to label the solution.
7. A rectangle has a length of 2x - 12 units and a width of 3 units. The value of the
rectangle's area is equal to the value of its perimeter. Write an equation to represent this
situation. Then, solve the equation.
Need a equation and a solution.

Answer 1

Answer:

A. 3(2x - 12) = 2(3 + 2x - 12)

B. Length = 6, width = 3

Step-by-step explanation:

l = 2x - 12

w = 3

Area = 3(2x - 12)

Perimeter = 2(3 + 2x - 12)

if A = P

3(2x - 12) = 2(3 + 2x - 12)

6x - 36 = 6 + 4x - 24

6x - 4x = 6 - 24 + 36

2x = 18

x = 9

Length = 2x - 12 = 2(9) - 12 = 18 - 12 = 6