Question

Annie's backyard deck cost $61.75 per square meter to build. The deck is 7 meters wide and14 meters long. How much did it cost to build the deck?

Answer 1

the cost to build the deck is $6051.5

Step-by-step explanation

Given that;

The length of the deck is 14 m

The width of the deck is 7m

1 m^2 is equivalent to $61.75

Follow the steps below to find the cost to build the deck

Step 1; Find the area of the deck

`\begin{gathered} \text{ Recall, that the deck is a rectangular shape} \\ \text{ Area of a rectangle = length }*\text{ width} \\ \text{ Area of a reactangle = 14 }*\text{ 7} \\ \text{ Area of a rectangle = 98m}^2 \end{gathered}`

Step 2; Find the total cost of the deck

Let x represents the total cost to build the deck

`\begin{gathered} \text{ 1m}^2\text{ }\rightarrow\text{ \$61.75} \\ \text{ 98m}^2\text{ }\rightarrow\text{ \$x} \\ \text{ cross multiply} \\ \text{ 1m}^2\text{ }*\text{ \$x = \$61.75 }*\text{ 98m}^2 \\ \text{ Isolate \$x }\frac{}{} \\ \text{ \$x = }\frac{\text{ \$61.75}*98\cancel{m^2}}{1\cancel{m^2}} \\ \text{ \$x = \$61.75 }*\text{ 98} \\ \text{ \$x = \$6051.5} \end{gathered}`

Therefore, the cost to build the deck is $6051.5