SOLUTION: If the sides of a square are increased by 2 &#8203;inches, the area becomes 49 square inches. Find the length of the sides of the original square.

Click here to see ALL problems on Quadratic Equations

Question 1067041: If the sides of a square are increased by 2 inches, the area becomes 49 square inches. Find the length of the sides of the original square.
Found 2 solutions by ikleyn, swincher4391:
Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website!
.
x + 2 = sqrt(49) = 7 ---> x = 5.

Solved.

Answer by swincher4391(1107) (Show Source):
You can put this solution on YOUR website!
Let the dimensions of a square be x by x. So if we increase the sides by 2. Then we have an x+2 by x+2. So the area of the square is . Set that equal to 49.

Take the square root of both sides and get that the square root of 49 is 7 or -7. But remember we are talking about length, so -7 is not possible.

SOLUTION: If the sides of a square are increased by 2 &#8203;inches, the area becomes 49 square inches. Find the length of the sides of the original square.

SOLUTION: If the sides of a square are increased by 2 inches, the area becomes 49 square inches. Find the length of the sides of the original square.