On the sheet, it's not even asking you for the dimensions. It's just asking you to set up the equation that you would use to find the dimensions. That's a great way to do it, because nobody actually needs the answers, the whole thing is only meant to help you learn HOW to find them.
Call the width of the window 'W' .
We know that the length is 5 feet more than the width, so the length is (W + 5).
The area is (length times width).
Area = (W + 5) times (W).
36 = (W + 5) W
36 = W² + 5W
Subtract 36 from each side:
W² + 5W - 36 = 0
That's choice-4 .
To find the dimensions of the window, let W be the width and express the length as L = W + 5 . Setting up the equation for the area as A = W × ( W + 5 ) , we can form the quadratic equation W 2 + 5 W − 36 = 0 . This equation can be solved to find the width and length of the window.
;
[tex]8 \times \frac{2}{3} \times 2.75 \\ \\ = \frac{16}{3} \times \frac{275}{100} \\ \\ = \frac{4400}{300} = 14.67[/tex]