Question

1. the owner of a sports complex wants to carpet a hallway connecting two buildings. the carpet costs $1.50 per square foot. how much does it cost to carpet the hallway?

Explanation:

Step1: Split shape into two rectangles

We can divide the hallway into a larger rectangle and a smaller rectangle.
Larger rectangle: length $18$ ft, width $6$ ft
Smaller rectangle: length $11$ ft, width $6$ ft

Step2: Calculate area of larger rectangle

Area = length $\times$ width
$\text{Area}_1 = 18 \times 6 = 108$ sq ft

Step3: Calculate area of smaller rectangle

$\text{Area}_2 = 11 \times 6 = 66$ sq ft

Step4: Find total area of hallway

Add the two areas together.
$\text{Total Area} = 108 + 66 = 174$ sq ft

Step5: Calculate total carpet cost

Multiply total area by cost per sq ft.
$\text{Total Cost} = 174 \times 1.50$

Answer:

$\$261$