SOLUTION: The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?

Question 827082: The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x and y for original square.
2x+2y=20 and A=xy, A for area.
x+y=10 so solving for y, y=10-x.
A=x(10-x).
Note, this is a square, so x=y.
A=x^2;
4x=20 ------ perimeter for square is x+x+x+x=4x
, the original value for x, for the square.

Changed area, now rectangle.
x+2 and x-1 for this rectangle.
Let B = this new area of this rectangle.
B=(x+2)(x-1)
B=x^2+x-2
We already found that x=5, so just compute B using x=5.
B=5*5+5-2
B=25+5-2

RELATED QUESTIONS
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet... (answered by josgarithmetic)

A rectangular garden has a length of 5ft and a width of 8 ft. The length is increased by... (answered by drj)

if the length of a rectangle is increased by 20% and width of the same rectangle is... (answered by josgarithmetic)

find the length and the width of a rectangle whose perimeter is 18 ft whose area is 20... (answered by ankor@dixie-net.com)

pls. help me solve this problem.... thank you. problem 1. The area of the rectangle is (answered by mananth)

if the length of a rectangle is increased by 120%and its width is decreased by 20%,what... (answered by nerdybill)

A rectangle has a perimeter of 62 cm. If the length and width are each increased by 2,by... (answered by ankor@dixie-net.com)

The length of the rectangle is twice its width. If its length is decrease by 3m and its... (answered by lwsshak3,algebrapro18)

a rectangular having area of 260 sq mtr,if we increase the width of rectangular by 2 mtr... (answered by mananth)