Question

Mario’s Restaurant is planning to tile the floor of their outdoor dining area, represented by the composite figure below. The tile costs $1.50 per square foot.
How much should the restaurant plan to spend on tile to complete the job?

A.
$256.50


B.
$346.50


C.
$436.50


D.
$558.50

Answer 1

Answer:

B

Step-by-step explanation:

We simply find the area and then multiply that by $1.5 to get our answer.

We need to break down the composite figure and add up each individual area to get total area.

To the right, we will have a trapezoid with bases:

base 1 (top) = 31 - 9 = 22

base 2 (bottom) = 12 (given)

and

height = 9 + 3 = 12

Putting into trapezoid area formula we have:

$A=\frac{1}{2}(Base1+Base2)(h)\\A=\frac{1}{2}(22+12)(12)\\A=204$

Also, the left side, we have a skinny rectangle with height 3 and length 9. Thus, the area is:

3 * 9 = 27

Total area is 204 + 27 = 231

Each square feet is $1.50, hence total cost = 231 * 1.5 = $346.50

B is the right answer.