I got 64 square feet.
My work is shown in the image.
For possible questions:
1: you can find x+7 and x-2 because the sides of the square can be measured as x, and x+7 means 7 more than the original; x-2 means 2 less than the original.
2: solved via factoring. Not sure if you've learned it or not.
3: reject the negative numbers because you can't have negative sides in a square.
You would find a number that goes into both 96 and 180 and once you find that number by guessing and checking it would be at its smallest form once you divide it
Answer:
x = 2
Step-by-step explanation:
x is the height of these triangles. Thus, we know all three sides of either triangle: height = x; base = 8/2, or 4; and hypotenuse √20.
Using the Pythagorean Theorem, we find x as follows:
x^2 + 4^2 = 20, or
x^2 = 4. Then x must be 2.
x = 2