Question

what is the area of the basement floor? round to the nearest hundredth if necessary.square yardspart beilene is having new carpet installed in the basement. if the carpet costs $27.50 per square yard, what is the total cost of the carpet?round to the nearest cent if necessary.

Explanation:

Step1: Split shape into two rectangles

We can divide the figure into a top rectangle and a bottom rectangle.
Top rectangle: length = $9.5$ yd, width = $8.25$ yd
Bottom rectangle: length = $16.25 - 8.25 = 8$ yd, width = $5.5$ yd

Step2: Calculate area of top rectangle

Area = length × width
$\text{Area}_1 = 9.5 \times 8.25 = 78.375$ square yards

Step3: Calculate area of bottom rectangle

Area = length × width
$\text{Area}_2 = 8 \times 5.5 = 44$ square yards

Step4: Total area of basement floor

Add the two areas together
$\text{Total Area} = 78.375 + 44 = 122.375$ square yards
Round to nearest hundredth: $122.38$ square yards

Step5: Calculate total carpet cost

Multiply total area by cost per square yard
$\text{Total Cost} = 122.38 \times 27.50 = 3365.45$

Answer:

Area of basement floor: $122.38$ square yards
Total cost of carpet: $\$3365.45$