Question

7.) alex is tiling his entryway. the floor plan is drawn below. if the cost of tile is $2.25 per square foot, how much will alex pay to tile his entryway?

Explanation:

Step1: Find height of the trapezoid

The total height is 27 ft, subtract the parallelogram's height:
$27 - 12 = 15$ ft

Step2: Calculate area of trapezoid

Use trapezoid area formula $\frac{1}{2}(a+b)h$:
$\frac{1}{2}(13+9)\times15 = \frac{1}{2}\times22\times15 = 165$ sq ft

Step3: Calculate area of parallelogram

Use parallelogram area formula $b\times h$:
$9\times12 = 108$ sq ft

Step4: Find total entryway area

Add the two areas together:
$165 + 108 = 273$ sq ft

Step5: Calculate total tile cost

Multiply total area by cost per sq ft:
$273\times2.25 = 614.25$

Answer:

$\$614.25$