Question

The length of the rectangles is 8ft longer than the width. The area is 180ft^2. Find the dimension of the rectangle

Answer 1

width = 10ft

length = 18ft

Explanation:

Area = length * width

Then:

e * w = 180 eq. 1

e = 8+w eq. 2

Replacing eq. 2 in eq. 1

(8+w) * w = 180

8*w + w*w = 180

w² + 8w - 180 = 0

w = {-8±√((8²)-(4*1*-180))} / (2*1)

w = {-8±√(64+720)} / 2

w = {-8±√784} / 2

w = {-8±28} / 2

w = {-8 + 28}/2 = 20/2 = 10

from the eq. 2

e = 8+w

e = 8 + 10

e = 18

Check:

from the eq. 1

10*18 = 180