SOLUTION: A square's side is increased by 10 yards, which corresponds to an increase in the area by 400 square yards. How many yards is the side of the initial square?
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Question 259071: A square's side is increased by 10 yards, which corresponds to an increase in the area by 400 square yards. How many yards is the side of the initial square?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A square's side is increased by 10 yards, which corresponds to an increase in the area by 400 square yards.
How many yards is the side of the initial square?
:
Let x = side of the original square
then
(x+10) = side of the larger square
:
Large area - small area = 400 sq/yd
(x+10)^2 - x^2 = 400
FOIL
x^2 + 20x + 100 - x^2 = 400
20x = 400 - 100
20x = 300
x =
x = 15 yds is the original square
;
:
Check it:
25^2 - 15^2 =
625 - 225 = 400
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