Question

The length of a rectangle is 8 ft less than three times the width, and the area of the rectangle is 35 ft. Find the dimensions of the rectangle.

Answer 1

Answer:length=7 feet Width=5 feet

Step-by-step explanation:

Area=35

Length=L

Width=L

L+8=3 x w L=3w-8

Area=L x w

35=Lw

35=w(3w-8)

35=3w^2-8w

3w^2-8w-35=0

3w^2+7w-15w-35=0

w(3w+7)-5(3w+7)=0

(w-5)(3w+7)=0

w-5=0 3w+7=0

w=5 3w=-7 w=-7/3

We are only interested in The positive answer which is width =5 feet

substitute w=5 in 35=L X w

35=L x w

35=L x 5

L=35/5

L=7

Length =7 feet