Respuesta :
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
[tex]Area=length\times width[/tex]
[tex]Area=78\times 36[/tex]
[tex]Area=2808\text{ ft}^2[/tex]
The area of drawing is
[tex]Area=15.6\times 7.2[/tex]
[tex]Area=112.32\text{ in.}^2[/tex]
Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is
[tex]\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1[/tex]
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.
