SOLUTION: The length and width of a square are increased by 6 ft and 8 ft, respectively. The result is a rectangle whose area is 188 sq. ft more than the area of the square. Determine the le

Algebra.Com
Question 1062810: The length and width of a square are increased by 6 ft and 8 ft, respectively. The result is a rectangle whose area is 188 sq. ft more than the area of the square. Determine the length pf the side of the square.

Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
(W+6)*(W+8) - W^2 = 188,

W^2 + 6W + 8W + 48 - W^2 = 188,

14W = 188-48,

14W = 140,

W = 10.

Answer. The side of the square is of 10 units long.



RELATED QUESTIONS

The length and width of a square are increased by 6 feet and 8 feet respectively the... (answered by solver91311)
find the length and the width of a rectangle whose perimeter is 18 ft whose area is 20... (answered by ankor@dixie-net.com)
The length of a rectangle is three times its width. If the length is decreased by 20 ft. (answered by rothauserc)
Find the length of the diagonal of a rectangle whose length is 8 ft and whose width is... (answered by nerdybill)
A rectangle whose area is 180 sq.ft. has its sides, respectively, diminished by 7 ft. and (answered by ewatrrr)
The area of a rectangle is 36 square feet. Find the length and the width of the rectangle (answered by ikleyn)
The perimeter of a rectangle is 120ft. When the width is increased by 9 ft. And the... (answered by josgarithmetic)
The length of a rectangle exceeds its width by 5 ft if the area of the rectangle is 176... (answered by Alan3354)
what is the perimeter of a rectangle whose length is 4 ft 8 in and whose width is 2 ft 5... (answered by fractalier)