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ANTONII [103]
3 years ago
8

The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length

, x, of each square windowpane? The image is of two rectangles one inside the other. Inner rectangle is divided into three squares each having length x . The space between the two rectangles is 6 inch both in length and width. A. 10 in. B. 20 in. C. 15 in. D. 25 in.

Mathematics
1 answer:
wariber [46]3 years ago
5 0

Answer:

Option A. x=10\ in

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

(3x+12)(x+12)=924\\ \\3x^{2}+36x+ 12x+144=924\\ \\ 3x^{2}+48x-780=0

using a graphing tool to solve the quadratic equation

The solution is x=10\ in

see the attached figure

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