SOLUTION: the length of each side of a square is 5 in more than the length of each side of a smaller square. the difference of the areas of the squares is 95in squared. find the lengths of t
Algebra.Com
Question 403311: the length of each side of a square is 5 in more than the length of each side of a smaller square. the difference of the areas of the squares is 95in squared. find the lengths of the sides of the two squares
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the length of each side of a square is 5 in more than the length of each side of a smaller square.
the difference of the areas of the squares is 95in squared.
find the lengths of the sides of the two squares
:
Let x = side of the smaller square
then
x^2 = area of the smaller square
and
(x+5) = side of the larger square
then
(x+5)^2 = area of the larger square
FOIL this, subtract the smaller square area
x^2 + 10x + 25 - x^2 = 95
x^2 - x^2 + 10x = 95 - 25
10x = 70
x = 7 inches is the side of the smaller square
then
7 + 5 = 12 inches is the side of the larger square
:
:
Check this by finding the areas
12^2 - 7^2
144 - 49 = 95; confirms our solutions
RELATED QUESTIONS
The length of each side of a square in 3 inches more than the length of each side of a... (answered by Fombitz)
The difference of the areas of two squares is 288 square feet. Each side of the larger... (answered by mananth)
the difference of the areas of 2 squares is 75 square feet. each side of the larger... (answered by ramkikk66)
The difference of the areas of two squares is 75 square feet. Each side of the larger... (answered by ankor@dixie-net.com)
The sum of the areas of 2 squares is 53cm^2. The length of the side of the larger square... (answered by mananth)
the length of the side of a square is 3meters less than the length of the side of another (answered by scott8148)
The side of one square is one inch longer than twice the length of the side of a aecond... (answered by Theo)
the sum of the areas of two squares is 234 square inches. Each side of the larger square... (answered by mananth)
The area of a certain square is 5 more than its perimiter. What is the length of each... (answered by jorel1380)