SOLUTION: A side of one square is 3cm longer than the side of a second square, and the area of the second square is 45cm squared less than that of the first square. Find the length of each s
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Question 454735: A side of one square is 3cm longer than the side of a second square, and the area of the second square is 45cm squared less than that of the first square. Find the length of each square. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A side of one square is 3cm longer than the side of a second square, and the area
of the second square is 45cm squared less than that of the first square.
Find the length of each square.
:
Let x = side of the smaller square
then
(x+3) = side of the larger
:
1st sq area - 2nd sq area = 45 sq/cm
(x+3)^2 - x^2 = 45
:
FOIL (x+3)(x+3)
x^2 + 6x + 9 - x^2 = 45
;
x^2 - x^2 + 6x = 45 - 9
:
6x = 36
x =
x = 6 cm the side of smaller square
and
6 + 3 = 9 cm side of the larger
:
:
Check by finding the area of each
9^2 - 6^2 = 45
