Question

Logan’s town is building a volleyball court based on a scale drawing that is

20 centimeters by 40 centimeters and uses the scale 1 cm : 45 cm. What is the area
of the actual court in square meters? ________ square meters
(1 Point)

Answer 1

`Area = 162\ m^2`

Explanation:

Given

`Scale = 1:45`

`Scale\ Drawing = 20cm\ by\ 40cm`

Required

Determine the actual area

First, we need to determine the actual measurements:

`Length = 45 * 20cm`

`Length = 900\ cm`

Convert to metres

`Length = 900 * 0.01\ m`

`Length = 9\ m`

`Width = 45 * 40cm`

`Width = 1800\ cm`

Convert to metres

`Width = 1800 * 0.01\ m`

`Width = 18\ m`

The area can then be calculated as

`Area = Length * Width`

`Area = 9\ m * 18\ m`

`Area = 162\ m^2`