The length of a rectangle is 7 inches longer than it is wide. If the area is 98 square inches, what are the dimensions of the rectangle?

Question

The length of a rectangle is 7 inches longer than it is wide. If the area is 98 square inches, what are the dimensions of the rectangle?

Answer 1

x(x+7) = 98

x^2 + 7x = 98

x^2 + 7x - 98 = 0

( x + 14 )( x - 7 ) = 0

x+14=0 results in negative measures

x-7=0 ---> x= 7

width is 7, length is 14