Question

Martine’s town is building a volleyball court based in a scale drawing that is 40centimeters by 80 centimeters and uses the scale 1 cm: 22.5cm

Part B

What are the length and the width in meters of the actual court? Show your work

Select all the correct answers,

Hint

Length: (2)(80) = 900 cm =9 m

Length: (22.5)(80) = 1,800 cm = 18 m

length: (40)(80) =3,200 cm = 32 m

Width: (2)(40) = 80 cm =3 m

width: (22.5)(40) = 900 cm = 9 m

width: (40)(80) = 3,200 cm = 32 m

Answer 1

9m by 18m

Explanation:

Current drawing measurement is 40cm by 80cm using the scale 1cm:22.5cm. This scale means that the original dimension of the court has been reduced by 22.5 for every 1cm. To get the original dimension, we will multiply the given dimension by 22.5cm each as shown.

For 40cm length

Original length = 40 * 22.5

Original length = 900 cm

Convert to metres:

100cm = 1m

900cm = x

cross multiply:

100x = 900*1

x = 900/100

x = 9m

Hence 900cm = 9m

For the 80cm width:

Original width = 80 * 22.5

Original width = 1800 cm

Convert to metres:

100cm = 1m

1800cm = x

cross multiply:

100x = 1800*1

x = 1800/100

x = 18m

Hence 1800cm = 9m

Hence the length and the width of the actual court in metres is 9m by 18m