Wednesday

October 1, 2014

October 1, 2014

Posted by **LP** on Friday, January 4, 2013 at 7:20am.

If one side of a square is increased by 2 inches and an adjacent side is decreased by 2 inches, the area of the resulting rectangle is 32 square inches. Find the length of one side of the square.

- Math -
**Bosnian**, Friday, January 4, 2013 at 7:28ama = length of one side of the square

W = Rectangle width

H = Rectangle height

A = Rectangle area

W = a + 2

H = a - 2

A = W * H

A = ( a + 2 ) * ( a - 2 ) = 32

32 = a ^ 2 + 2 a - 2 a - 4

32 = a ^ - 4 Add 4 to both sides

32 + 4 = a ^ - 4 + 4

36 = a ^ 2

a = sqrt ( 36 ) = 6

The length of one side of the square = 6 in

**Answer this Question**

**Related Questions**

Math - If one side of a square is increased by 2 inches and an adjacent side is ...

math - if the area of a rectangle is 27 square inches and one side is 3 inches ...

7th grade math please help ms.sue - 2. Joy knits a square blanket that has an ...

math - Each side of a square is lengthened by 8 inches. The area of this new, ...

Math-Algebra 1 - I Really Need Help With This Question!! What is the area of the...

Math-Algebra 1 - I Really Need Help With This Question!! What is the area of the...

Math - Help if you can! Thanks! Appreciate it! The length of one side of a ...

math - If each edge of a cube is increased by 2 inches, the A. volume is ...

MA 107 college algebra - Each side of a square is lengthened by 2 inches. The ...

another algebra word problem - okay guys, just one more word problem. and i don'...