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

Answer:

$Area = 162\ m^2$

Step-by-step 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

$Area = Length * Width$

$Area = 9\ m * 18\ m$

$Area = 162\ m^2$