you work for a printing company that makes banners. a customer orders one banner in the shape of a rectangle…

you work for a printing company that makes banners. a customer orders one banner in the shape of a rectangle and another in the shape of a triangle. the rectangle has a length of 10 feet and a width of 3 feet. the triangle has a base of 4 feet and a height of 3 feet. the customer will be charged $5.25 plus tax per square foot. not including tax, how much is the customer charged for the two signs? $105.00 $110.25 $141.75 $189.00 $220.50

you work for a printing company that makes banners. a customer orders one banner in the shape of a rectangle and another in the shape of a triangle. the rectangle has a length of 10 feet and a width of 3 feet. the triangle has a base of 4 feet and a height of 3 feet. the customer will be charged $5.25 plus tax per square foot. not including tax, how much is the customer charged for the two signs? $105.00 $110.25 $141.75 $189.00 $220.50

Answer

Explanation:

Step1: Calculate rectangle area

The area formula for a rectangle is $A = l\times w$. Here, $l = 10$ feet and $w = 3$ feet. So $A_{rectangle}=10\times3 = 30$ square - feet.

Step2: Calculate triangle area

The area formula for a triangle is $A=\frac{1}{2}\times b\times h$. Here, $b = 4$ feet and $h = 3$ feet. So $A_{triangle}=\frac{1}{2}\times4\times3=6$ square - feet.

Step3: Calculate total area

$A_{total}=A_{rectangle}+A_{triangle}=30 + 6=36$ square - feet.

Step4: Calculate cost

The customer is charged $5.25$ per square - foot. So the cost $C=5.25\times36 = 189$ dollars.

Answer:

$189.00$