Question

Mattress Warehouse is having a sale on all mattresses. A twin and a king-size mattress are similar rectangles, and the ratio of the corresponding sides is 2:3. If the area of the king-size mattress is 108 ft^2

what is the area of the twin mattress?
1.48 ft^2
2.72 ft^2
3.90 ft^2
4.162 ft^2

Answer 1

Number 3

Explanation:

Answer 2

• 1. 48 ft²

Explanation:

The ratio of sides is

• Twin/king = 2/3

The area is the product of two sides so the ratio of the areas is the square of the ratio of the sides:

• A(twin) / A(king) = (2/3)²
• x/108 = 4/9
• x = 108*4/9
• x = 48 ft²