Question

the length of the top of a rectangular-shaped deck is 6 meters longer than its width. if the area of the top of the deck is 72 square meters, what is it’s length in meters?

Answer 1

6 meters

Explanation:

length= 6+x

width= x

x (x+6)= 72⇔
`x^(2)` + 6x - 72= 0⇔ x= (-6 ±
`\sqrt{6^(2) -4 *1*(-72) }`) / 2*1⇔

⇔ x= (-6±√324)/2 ⇔ x= (-6±18)/2 ⇔ x= 6 ∨ x= -12

Since the width of a rectangle can't be negative, the answer will be 6 meters.