Question

The length of a rectangular storage room is 3 feet more than the width. If the area of the room is 40 square​ feet, find the​ room's dimensions.

Answer 1

Answer:Length is 8 feet while width is 5 feet

Step-by-step explanation:

area(a)=Length(L) x width(w)=40

Width(w) + 3=Length(L)

L x w=40

w + 3=L

Substitute L=w+3 in L x w=40

(w+3) x w=40

w^2+3w=40

w^2+3w-40=0

w^2+8w-5w-40=0

w(w+8)-5(w+8)=0

(w-5)(w+8)=0

w-5=0 w+8=0

w=5 w=-8

Therefore width is 5 feet

Substitute w=5 in L=w + 3

L=5+3

L=8

Length=8 feet