Q:

The combined area of the 3 windowpanes and frame shown below is 924 inches squared. The frame is of uniform width. What is the side length, x, of each square windowpane?

Accepted Solution

A:
Answer:The sides length x of each square windowpane is [tex]10\ in[/tex]Step-by-step explanation:we know that[tex]924\ in^{2}=(6+3x+6)(6+x+6)\\ \\924=(12+3x)(12+x)\\ \\924=144+12x+36x+3x^{2}\\ \\ 3x^{2}+48x- 780=0[/tex]Solve the quadratic equationusing a graphing toolThe solution is [tex]x=10\ in[/tex]see the attached figure