Question

The length of a rectangular frame is represented by the expression 3x + 10, and the width of the rectangular frame is represented by the expression 3x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 192 square inches.

a
9x2 + 48x + 60 = 0

b
9x2 + 48x − 132 = 0

c
3x2 + 48x − 132 = 0

d
x2 + 16x + 60 = 0

Answer 1

To find the equation that solves for the width of a rectangular frame with a total area of 192 square inches, we need to set up an equation using the expressions for the length and width of the frame.

The area of a rectangle is given by the formula A = length * width. In this case, the area is given as 192 square inches, and the expressions for the length and width are 3x + 10 and 3x + 6, respectively.

So, we can set up the equation:

(3x + 10) * (3x + 6) = 192

Expanding and simplifying this equation gives us:

9x^2 + 48x + 60 = 192

Rearranging the terms, we have:

9x^2 + 48x - 132 = 0

Therefore, the correct equation to solve for the width of the rectangular frame is:

b) 9x^2 + 48x - 132 = 0

IMPORTANT:

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