Question

the figure shown is a scale drawing of a playground in a park the length is 9 in and the width is 2 in

Answer 1

The scale drawing of the playground has a length of 9 inches and a width of 2 inches, and the actual park has a width of 6 feet.

To determine the length of the park, the first step is to determine the scale used to make the drawing, this is, the feet to inches ratio.

For this you have to use the information about the width:

2 in _____ 6 feet

1 in _____ x feet

Both relationships are at the same ratio so that:

`\begin{gathered} (6)/(2)=(x)/(1) \\ 3=x \end{gathered}`

This means that 1 inch in the drawing is equal to 3 feet of the actual measures. You can express the scale used as 1in:3ft

Now that we know that the scale factor is 3, to determine the actual length of the park, you have to multiply the length of the drawing by the scale factor:

`9\cdot3=27ft`

The actual length of the park is 27ft