The base of a rectangle is for more than the height. The area of the rectangular is 15 square inches. What are the dimensions of the rectangle.

Answer 1

x(x+4) = 15

x^2 + 4x - 15 = 0

x = (-4 +or- sqrt( 16- 4(-15))/2

= (-4 +or- sqrt( 16 + 60))/2

= (-4 +or- sqrt(76))/2

= (-4 +or- 2*sqrt(19))/

= -2 +or- sqrt(19)

negative branch results is negative measures and is disqualified

x = -2 + sqrt(19) = sqrt(19) - 2

then the base is sqrt(19) - 2 + 4 = sqrt(19) + 2

Area is ( sqrt(19) - 2 ) ( sqrt(19) + 2)

= 19 - 4 = 15