SOLUTION: find the length of a side of each of two squares given that the sum of their perimeters is 44 feet and the sum of their area is 73 square feet.

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Question 1090174: find the length of a side of each of two squares given that the sum of their perimeters is 44 feet and the sum of their area is 73 square feet.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The sum of sides, a + b, is 44%2F4 = 11.

The sum of squares is 73.

x^2 + (11-x)^2 = 73,
x^2 + 121 - 22x + x^2 = 73,
2x^2 - 22x + 49 = 0.

Apply the quadratic formula and find x.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

find the length of a side of each of two squares given that the sum of their perimeters is 44 feet and the sum of their area is 73 square feet.
Sides of each: highlight_green%28matrix%281%2C5%2C+8%2C+feet%2C+and%2C+3%2C+feet%29%29