SOLUTION: The problem: The combined are of two squares is 26 square meters. The sides of the larger square are five times as long as the sides of the smaller squarer. Find the dimension

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Question 19627: The problem:
The combined are of two squares is 26 square meters. The sides of the larger square are five times as long as the sides of the smaller squarer. Find the dimensions of each of the squares?
I need help with devising the equation.
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
let the side of one square be x,and the other have side y


area of first square:x%5E2
area of second square:y%5E2


acc to the question,
"The combined are of two squares is 26 square meters."
x%5E2%2By%5E2=26


now look at the question,
"The sides of the larger square are five times as long as the sides of the smaller squarer."
so that means,
x=5y


substitute this value in the first equation:
x%5E2%2By%5E2=26
%285y%29%5E2%2By%5E2=26
25%2Ay%5E2%2By%5E2=26
26y%5E2=26
y%5E2=1
y=1


x=5y=5(1)=5


x=5,y=1 (metres)

-Prabhat