Math
posted by LP
A Quadratic Word Problem
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.

Bosnian
a = 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 
Ayah
6 inch
Respond to this Question
Similar Questions

another algebra word problem
okay guys, just one more word problem. and i don't think this one has any typos in it: The perimeter of a rectangle is 27 cm and its area is 35 square centimeters. Find the length and the wide of the rectangle. i just need help getting … 
math
Each side of a square is lengthened by 8 inches. The area of this new, larger square is 196 square inches. Find the length of a side of the original square. 
math
if the area of a rectangle is 27 square inches and one side is 3 inches how many square inches is the other side 
7th grade math please help ms.sue
2. Joy knits a square blanket that has an area of 1,500 square inches. What is the approximate length of each side of the blanket? 
Math
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
Help if you can! Thanks! Appreciate it! The length of one side of a square is approximately 181 inches. Which could be the length of one side of the square? 
Algebra 2
Orlando is making a design for a logo. He begins with a square measuring 20 inches on each side. The second square has a side length of 16 inches, and the third square has a side length of 12.8 inches. Which square will be the first … 
MATH HELP
The side of a square is Three raised to the five halves power inches. Using the area formula A = s2, determine the area of the square. This is the side of the square in fraction(3^5/2) A = 9 square inches A = 15 square inches A = 225 … 
math
A flying disc has a radius of 6 inches. What is the area of one side of the flying disc to the nearest square inch? 
Math, Algebra
A square and rectangle have the same area. The length of the rectangle is five inches more than twice the length of the side of the square. The width of the rectangle is 6 inches less than the side of the square. Find the length of …