Question 768337
<pre>
the difference of the areas of 2 squares is 75 square feet. each side of the larger square is twice the length of a side of the smaller square. find the length of the side of each square.
Ans:
Let the smaller square be of side x
Then the larger square has each side of 2*x
Area of smaller square = {{{x^2}}}
Area of larger square = {{{(2*x)^2 = 4*x^2}}}
Difference in areas = {{{4*x^2 - x^2 = 75}}}
Simplifying
{{{3*x^2 = 75}}}
{{{x^2 = 25}}}
{{{x = 5}}}
So the two squares have sides as {{{highlight(5)}}} and {{{highlight(10)}}} feet.
Check for correctness.
Area of first = 5*5 = 25
Area of second = 10*10 = 100
Difference = 100 - 25 = 75 
Correct :)