SOLUTION: The sum of the areas of two squares is 89 square centimeters. The length of a side of the larger square is 3 centimeters more than the length of a side of the smaller square. Find

Question 1004450: The sum of the areas of two squares is 89 square centimeters. The length of a side of the larger square is 3 centimeters more than the length of a side of the smaller square. Find the dimensions of each square.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The sum of the areas of two squares is 89 square centimeters. The length of a side of the larger square is 3 centimeters more than the length of a side of the smaller square. Find the dimensions of each square.

the length of a side of the smaller square. let it be x
Area = x^2

The length of a side of the larger square is 3 centimeters more than .(x+3)
area = (x+3)^2
The sum of the areas of two squares is 89 square centimeters.
x^2+(x+3)^2=89
x^2+x^2+6x+9 = 89
2x^2+6x-80=0
/2
x^2+3x-40=0
x^2+8x-5x-40=0
x(x+8)-5(x+8)=0
(x+8)(x-5)=0
x=-8 OR x= 5
Ignore negative
dimensions of the squares are
5 by 5 cm and 8 by 8 cm

RELATED QUESTIONS
The sum of the areas of two squares is 89 square centimeters. The length of a side of the (answered by Boreal)

The sum of the area of two squares is 89 square centimeters. The length of a side of the... (answered by sachi)

The sum of the area of two squares is 89 squares centimeters. The lenght of a side of the (answered by Stitch)

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

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

The sum of areas for two squares is 900cm^2. The length of side of small square is 3/4... (answered by josgarithmetic)

the combined area of two squares is 45 square centimeters. each side of one square is... (answered by macston)

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 difference of the areas of two squares is 288 square feet. Each side of the larger... (answered by mananth)