Question

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.

Answer 1

Option A.
`x=10\ in`

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