Question
Asked Sep 24, 2019
69 views

A regulation tennis court for a singles match is laid out so thar it's length is 3 ft less than three times its width. The area of the singles court is 2106 ft^2. What is the length and width of the singles court?

Tennis court dimensions: A
regulation tennis court for a
singles match is laid out so
that its length is 3 ft less than
three times its width. The area
Singles
of the singles court is 2106 ft2
What is the length and width
of the singles court?
Doubles
help_outline

Image Transcriptionclose

Tennis court dimensions: A regulation tennis court for a singles match is laid out so that its length is 3 ft less than three times its width. The area Singles of the singles court is 2106 ft2 What is the length and width of the singles court? Doubles

fullscreen
check_circle

Expert Answer

star
star
star
star
star
1 Rating
Step 1

The dimensions and the area of the tennis court is given below.

help_outline

Image Transcriptionclose

width w ft length (3w -3) ft area 2106 ft

fullscreen
Step 2

The dimensions of the tennis court is computed using the formula of it’s area as follows.

help_outline

Image Transcriptionclose

area lengthx width 2106 (3w-3)w 2106 3w-3w 3w -3w-2106 = 0

fullscreen
Step 3

Solve the above quadratic equation to fi...

help_outline

Image Transcriptionclose

3w2-3w-2106 0 -(-3)-3)-4-3-(-2106) 2-3 w 27 and w=-26 ..w = 27 ft

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra