SOLUTION: The sum of the areas of the two squares is 325 square meters. The side of one increased by the side of the other is 25 meters. Find the length of a side each.

Question 102690: The sum of the areas of the two squares is 325 square meters. The side of one increased by the side of the other is 25 meters. Find the length of a side each.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of the areas of the two squares is 325 square meters. The side of one increased by the side of the other is 25 meters. Find the length of a side each.
------------------
Let one of the sides be "x" ; the other side is "25-x"
EQUATION:
x^2 + (25-x)^2 = 325
x^2 + 625 -50x + x^2 = 325
2x^2 -50x + 300 = 0
x^2 -25x + 150 = 0
x = [25 +- sqrt (625-4*150)]/2
x = [25 +- 5]/2
x = [15] or x = [10]
One of the sides is 15 m the other is 10m
====================================================
Cheers,
Stan H.
RELATED QUESTIONS
The difference of two numbers is 7 and the sum of their squares is 137. Find the... (answered by mananth)

The sum of the areas of two squares is 225. If one square is 3 units larger per side then (answered by checkley71,ankor@dixie-net.com)

The side of a square exceeds the side of another square by 5 cm and the sum of the area... (answered by richwmiller)

the sum of the perimeters of two square lots is 140 meters while the sum of their areas... (answered by ankor@dixie-net.com)

the sum of the areas of two squares is 234 square inches. Each side of the larger square... (answered by mananth)

The sum of the areas of two squares is 85. the length of a side of the larger square... (answered by edjones)

The length of each side of square A is increased by 100% to make square B. If the length... (answered by edjones)

The sum of the perimeter of two squares is 64cm. and the sum of their areas is 130sq.cm.... (answered by ankor@dixie-net.com)