Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter to draw the scale diagram. If the scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeters, what is the actual area of the court?
A.
1,307.84 square meters
B.
326.96 square meters
C.
81.74 square meters
D.
78 square meters
Answers
Answer:
81.74 m²
Step-by-step explanation:
1m = 100cm
1cm → 0.5m
1cm → 0.5 · 100cm = 50cm
The scale:
length = 26.8cm · 50 = 1,340cm = 13.40m
width = 12.2cm · 50 = 610cm = 6.10m
The area of the court:
A = 13.40 · 6.10 = 81.74 m²
Given : Shania is making a scale diagram of the badminton court at the community center.
She uses a scale of 1 centimeter to 0.5 meter to draw the scale diagram.
scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeters,
To Find : Actual area of the court
A. 1,307.84 square meters
B. 326.96 square meters
C. 81.74 square meters
D. 78 square meters
Solution:
scale of 1 centimeter to 0.5 meter
Length = 26.8 cm
=> actual length = 26.8 x 0.5 m
= 13.4 m
width = 12.2 cm
=> actual width = 12.2 x 0.5 m
=6.1 m
Area = length x width
= 13.4 x 6.1
= 81.74 m²
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