Q28. - Geometry

Question

How much will it cost to blacktop the driveway shown if blacktopping costs$\$11.00$ per square meter?

Step-by-Step Solution

Answer

The cost to blacktop the driveway is  $\$1122.00$

Step 1. Given information.

 Cost of blacktopping is$\$11.00$ per square meter.

Step 2. Concept Used.

If b is the base of the reactangle and $\begin{array}{c}102m^2=102\times 11\\ =\$1122.00\end{array}$is the height of the rectangle.

Then, the   area of the rectangle is $A=b\times h$

Step 3. Let’s calculate the area of the path.

Total area of the driveway = Area of first part + Area of second part

i.e.

Area of first part $\begin{array}{c}length=(18-12)\\ =6m\\ width=(9-4)\\ =5m\\ A_1=bh\\ A_1=6\left(5\right)\\ =30m^2\end{array}$

Area of second part $\begin{array}{c}{A}_2=bh\\ A_2=4\left(18\right)\\ =72m^2\end{array}$

Now, total area  is$\begin{array}{c}{A}_1+A_2=30+72\\ =102m^2\end{array}$

 

Cost of blacktopping per meter square =$\$11.00$

Cost of blacktopping is,$\begin{array}{c}102m^2=102\times 11\\ =\$1122.00\end{array}$

Therefore, the cost of blacktopping is $\$1122.00$