SOLUTION: the length of a rectangle is decreased by 3 feet, and the width is increased by 1 foot, forming a square region havig an area of 25 square feet. what is the area of the orginal rec

Question 38252: the length of a rectangle is decreased by 3 feet, and the width is increased by 1 foot, forming a square region havig an area of 25 square feet. what is the area of the orginal rectangle?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the length of a rectangle is decreased by 3 feet, and the width is increased by 1 foot, forming a square region havig an area of 25 square feet. what is the area of the orginal rectangle?
Original Rectangle:
Length = x; Width=y
Area = xy
New SQUARE:
Length x-3; Width y+1
Area = 25 sq. ft.
Since it is a square and the area is 25 sq ft,
each side is 5 ft.
Therefore:
x-3=5 so x=8 ft
y+1=5 so y=4 ft
Therefore Area of the rectangle = xy=8*4= 32 sq ft.
Cheers,
Stan H.
RELATED QUESTIONS
The length of a rectangle is decreased by three feet, and the width is increased by one... (answered by Nate)

The length of a rectangle is three times the width. If the length is increased by 4 feet (answered by stanbon)

the length of a rectangle is 7 feet more than width. if the length were decreased by 3... (answered by solver91311)

The length of a rectangle is three times its width. If the width is decreased by 1 meter... (answered by josgarithmetic)

If a rectangular region having an area of 500 square units has its length increased by... (answered by stanbon)

The area of a rectangular region is 104 square feet. If the length of the rectangle is... (answered by josgarithmetic)

If the length of a rectangle is decreased by 2 inches and its width is increased by 2... (answered by ankor@dixie-net.com)

The length of a certain rectangle is 4 feet greater than the width. If the length is... (answered by VFBundy)

Suppose that the length of a certain rectangle is three times its width. If the length... (answered by richwmiller)