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 = 

Area of larger square = 

Difference in areas = 

Simplifying







So the two squares have sides as  and  feet.

Check for correctness.

Area of first = 5*5 = 25

Area of second = 10*10 = 100

Difference = 100 - 25 = 75 

Correct :)

 

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