## The length of a rectangular frame is represented by the expression 2x + 8, and the width of the rectangular frame is represented by the expr

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.4×2 + 32x + 48 = 0

B.4×2 + 28x − 112 = 0

C. 2×2 + 32x − 112 = 0

D.x2 + 12x + 48 = 0

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2021-09-10T12:11:29+00:00
2021-09-10T12:11:29+00:00 1 Answer
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## Answers ( )

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 = 04x² + 28x – 112 = 0