The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 14 m2 . find the dimensions of the

Question

Wewaii [24]

3 years ago

11

The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 14 m2 . find the dimensions of the

rectangle.

Mathematics

1 answer:

PIT_PIT [208] · Answer 1 · 2022-07-21T20:43:01+03:00

Let W = width and L = length length is 3 less than twice width ==> L = 2*W - 3 Area = L*W = (2*W-3)*W = 14
2*W^2 -3*W - 14 = 0
(2W - 7)*(W + 2) = 0
2W - 7 = 0 or W + 2 = 0
W = 7/2 or W = -2
Width cannot be negative so W = 7/2 = 3.5
So L = 2*(7/2) - 3 = 7 - 3 = 4 The length is 4 m and the width is 3.5 m Check: 2*(3.5) - 3 = 4, length is 3 less than twice width

Area = L*W = 4*3.5 = 14 m^2