MODELING REAL LIFE A green roof is like a traditional roof but covered with plants. Plants used for a green roof cost $0.75 per square foot. The roof shown is 40 feet long. How much does it cost to cover both sides of the roof?

$1200

Step-by-step explanation:

Let the roof be square shaped

Area of the roof = L²

L is the side length of the roof

Given

L = 40ft

Area of the roof = 40²

Area of the roof = 1600ft²

If plants used for a green roof cost $0.75 per square foot, this means

1 ft² = $0.75

Let the cost needed to cover both sides of the roof be y, hence;

1600ft² = y

Divide both expressions

1/1600 = 0.75/y

y × 1 = 0.75×1600.

y = 0.75×1600

y = 1200

Hence it will cost $1200 to cover both sides of the roof