Question

The length of a rectangle is 2 meters longer than the width. If the area is 29 square​ meters, find the​ rectangle's dimensions. Round to the nearest tenth of a meter.

Answer 1

29 m^2

Explanation:

width = x

Length: x+2

x(x+2) = 29

x^2 + 2x = 29

x^2 + 2x - 29 = 0

a = 1, b = 2, and c = -29

x = {-2+-[sq.root 2^2 - 4(1)(-29)]}/2(1)

x = (-2+-sq.root120)/2 =

=4.47723

= -6.47723

4.47723 * 6.47723 = 29 m^2