SOLUTION: The perimeter of a tennis table is 28 feet. the difference between 4 times the length and 3 times the width is 14 feet. find the dimensions.

Question 955819: The perimeter of a tennis table is 28 feet. the difference between 4 times the length and 3 times the width is 14 feet. find the dimensions.

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
W=width; L=length; P=perimeter=28 feet
P=2(L+W)
28ft=2(L+W)
28 feet=2L+2W Multiply each side by 2.
56 feet=4L+4W Swap sides for clarity.
4L+4W=56 feet
4L-3W=14 feet Subtract equations.
7W=42 feet Divide each side by 7.
W=6 feet ANSWER 1: The width is 6 feet.
P=2(L+W)
28ft=2(L+6ft)
28ft=2L+12 ft
16ft=2L
8ft=L ANSWER 2: The length is 8 feet.
CHECK:
4L-3W=14 ft
4(8ft)-3(6ft)=14ft
32ft-18ft=14ft
14ft=14ft
RELATED QUESTIONS
Perimeter of rectangle is 28 feet. The difference between 4 times the length and 3 times (answered by stanbon)

The length of a banquet table is 3 feet longer than 4 times its width. If the perimeter... (answered by ewatrrr)

The length of a rectangle is 3 times the width. The difference between the length and the (answered by checkley77)

The length of a rectangle is 3 times the width. The difference between the length and the (answered by papugai)

the perimiter of a tennis court is 210 feet and the length is 3 feet less then three... (answered by TutorDelphia)

the perimeter of a rectangle is 28 feet. find the length of the rectangle if the length... (answered by TimothyLamb)

the length of a rectangle is 3 times the width. the difference between the lenght and... (answered by checkley77)

The length of a banquet table is 3 feet longer than 4 times width. If the perimeter is 56 (answered by addingup)

Find the area of a rectangular tennis court if the perimeter is 480 feet.The length of... (answered by rfer)