Question

Tampa is building a fence in the shape of a right angle. The length of the base of the fence is 12 feet, and the length of one aide is 5 feet. Tampa makes a scale drawing of the garden using a scale of 1 inch to 2 feet. What is the area of the garden in the scale drawing?

Answer 1

We will begin by converting the lengths of the fence from feet to inches in the scale drawing.

We are given that 1 inch represents 2 feet in the fence. This means that:

`\begin{gathered} \text{If 1 inch represents 2 feet} \\ h=5ft\Rightarrow(5)/(2)in \\ b=12ft\Rightarrow6in \end{gathered}`

The formula to calculate the area of a triangle is given to be:

`A=(1)/(2)bh`

Therefore, the area of the garden in the scale drawing will be:

`A=(1)/(2)*6*(5)/(2)=7.5in^2`

The area is 7.5 square inches.