SOLUTION: A square's side is increased by 3 yards, which corresponds to an increase in the area by 69 square yards. How many yards is the side of the initial square?

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Question 702398: A square's side is increased by 3 yards, which corresponds to an increase in the area by 69 square yards. How many yards is the side of the initial square?
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
(x+3)^2 = x^2 + 69

x^2 + 6x + 9 = x^2 + 69

x^2 + 6x + 9 - x^2 = x^2 + 69 - x^2

6x + 9 = 69

6x = 69 - 9

6x = 60

x = 60/6

x = 10

The initial square had a side length of 10 yards.

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Let represent the measure of the side of the original square. Then is the measure of the side of the larger square.

The area of the larger square is then , which is 69 square yards larger than the area of the smaller square which is

Therefore

Solve for

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it