# When the length of each side of square is increased by 7 in., its area is increased by 189 in^2. Find the length of the original square. Please help ASAP!

1
by rongie1
increased by 189 or increased to 189?
increased by 189 :)
got it :-)

• Brainly User
2015-09-24T17:50:31+08:00

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Let original side of square be x.
Let Area of of square with original side be (x)²
Length increased by 7:  x + 7
New are of square increased by (not to) 189:  x² + 189

Equation:
(x+7)² = x² + 189       (increased BY 189)
x² + 14x + 49 = x² + 189
x² - x² + 14x = 189 - 49
14x = 140
14x/14 = 140/14

x = 10 inches, the original length of the side of square.

To check:
Original measurements:
(x inches)² = area
(10 inches)² = 100 squared inches

New measurements:
(10 inch + 7 inch)² = 100 sq. inch + 189 sq. inch
(17 inc)² = 289
289 sq. inches = 289 sq. inches

okiee :)
(x+7)^2 = 189. Transform this to ax + by + c = 0. Solve it using quadratic formula because this equation has no rational roots.
If you used "by", solution I posted is correct. If you use "to", it be a different solution:-)
ohhhhh thank you :)
i posted it again :)