Question

The scale from a playground to a scale drawing of the playground is4 meters per centimeter. The length of the drawing of the playgroundis 5.3 cm and the width is 3.8 cm. What is the area of the tactualplayground? Show your work.5.3 cmTeraso I3.8 cmscale drawing of a playground

Answer 1

Given:

The scale from a playground to a scale drawing of the playground is 4 meters per centimeter.

The length of the playground= 5.3 cm.

The width of the playground = 3.8cm.

To find:

We need to find the area of the actual playground.

Step-by-step explanation:

The given ratio is

`4m\colon1cm`

The length of the actual playground is

`=5.3*4m`

`=21.2m`

The length of the actual playground is l= 21.2m.

The width of the actual playground is

`=3.8*4m`

`=15.2m`

The width of the actual playground is w = 15.2m.

Consider the area of the rectangle.

`A=lw`

Substitute l=21.2 and w=15.2 in the formula.

`A=21.2*15.2`

`A=322.24m^2`

Final answer:

The area of the actual playground is 322.24 square meters.