SOLUTION: a rectangle is 4 inches wide by 7 inches long. when the length and width are increased by the same amount, the area is increased by 26 square inches. what are the dimensions of the
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: a rectangle is 4 inches wide by 7 inches long. when the length and width are increased by the same amount, the area is increased by 26 square inches. what are the dimensions of the
Log On
Question 293261: a rectangle is 4 inches wide by 7 inches long. when the length and width are increased by the same amount, the area is increased by 26 square inches. what are the dimensions of the new rectangle Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! (4+x)(7+x)=4*7+26
28+11x+x^2=28+26
x^2+11x+28-28-26=0
x^2+11x-26=0
(x+13)(x-2)=0
x-2=0
x=2 ans. for the increase.
Proof:
(4+2)(7+2)=4*7+26
6*9=54
54=54
(