Question

An architect is building a model of tennis court for a new client. the court is 7 inches wide and 13 inches long an official tennis court is 32 feet wide. what is the length of a tennis court?​

Answer 1

Length of official tennis court is 713.14 in or 59.43 ft

Explanation:

In order to find the length of an official tennis court, we can use the concept of proportions.

Let's set up a proportion to solve for the length of the tennis court.

Given:

• Model tennis court width = 7 inches
• Model tennis court length = 13 inches
• Official tennis court width = 32 feet = 32*12 = 384 inches

Let x be the length of the official tennis court in feet.

Proportion:

`\sf \frac{\textsf{Model width }}{\textsf{Official width }}=\frac{\textsf{ Model length }}{\textsf{Official length}}`

`\sf (7 in )/(384in)= (13 in)/( x ft)`

`\sf x ft = (13in*384\: in)/(7\: in) \approx 713.14\: in`

The length of an official tennis court is approximately 713.14 in or 59.43 ft

Answer 2

Answer: 59.4285714 feet approximately

Work Shown

(7 inches)/(32 feet) = (13 inches)/(x feet)

7/32 = 13/x

7x = 32*13

7x = 416

x = 416/7

x = 59.4285714 approximately

Round this value however your teacher instructs.