Question

The dimensions of a standard tennis court are 36 ft. × 78 ft. with a net that is 3 ft. high in the center. The court is modified for players aged 10 and under such that the dimensions are 27 ft. × 60 ft., and the same net is used. Use similarity to determine if the modified court is similar to the standard court.​

Answer 1

Modified court is not similar to the standard court

Explanation:

Given that :

Dimension of standard tennis court:

36ft by 78ft

Net height = 3 ft

Dimension of Modified Court :

27ft by 60ft

Net height = 3ft

To examine similarity :

We obtain the dilation factor for width and length :

(Standard court length / modified court length)

= 36 ft / 27 ft

= 4 / 3

Width :

Standard court width / modified court width)

= 78 ft / 60 ft

= 13 / 10

Since the dilation factor for the width and length are different, then we can conclude that the standard and modified court are not similar