Question

The length of a rectangular frame is represented by the expression 2x + 8, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 160 square inches
A.4x2 + 32x + 48 = 0
B.4x2 + 28x − 112 = 0
C. 2x2 + 32x − 112 = 0
D.x2 + 12x + 48 = 0

Answer 1

Answer:

B

Step-by-step explanation:

Area of rectangle = length * width

length * width = 160 square inches

(2x + 8) (2x +6) =160            {Use FOIL method}

(2x*2x) + (2x*6) + (8*2x) + (8*6) = 160

4x² + 12x + 16x + 48 = 160     {Add the like terms}

4x² + 28x + 48 -160 = 0

4x² + 28x - 112 = 0