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1 answer:
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Given:
Length of the scale = 15.6 in.
Width of the scale = 7.2 in.
Scale of drawing = 1 in. : 5ft.
To find:
The ratio of area of the actual court to the area of the drawing (as a unit rate).
And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.
Step-by-step explanation:
We have,
1 in. = 5ft.
Now, using this scale we get
15.6 in. = (15.6 × 5) ft =78 ft.
7.2 in. = (7.2 × 5) ft = 36 ft.
So, the actual length and width of tennis court are 78 ft and 36 ft respectively.
Area of actual tennis court is
The area of drawing is
Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is
Ratio of area is 25:1 and ratio of length is 5:1 both area not same.
Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.