Question

Tanya is making a blueprint of an Olympic-size swimming pool. The length of the pool is 50 meters, and its width is 25 meters. If Tanya uses a scale factor of 3 inches per 5 meters, what is the perimeter of the pool in the scale drawing?

Answer 1

Step-by-step explanation:

Tanya is making a blueprint of an Olympic-size swimming pool. The length of the pool is 50 meters, and its width is 25 meters

Tanya uses a scale factor of 3 inches per 5 meters

Now we convert the width and length of the pool to inches

5 meters = 3 inch

LEts make a propportion

\frac{3}{5} = \frac{x}{50}

5

3

=

50

x

cross multiply it

x= 30, length = 30 inches

we do the same and make a proprtion for width

LEts make a propportion

\frac{3}{5} = \frac{x}{25}

5

3

=

25

x

cross multiply it

x= 15,width= 15 inches

length = 30 inches and width = 15 inches

Perimeter of the pool= 2(length) +2(width)= 2(30)+2(15)= 90 inches

hope it helps you