Answer: length = 14 meters
Width = 10 meters
Step-by-step explanation:
The rectangular tennis court has two equal lengths,L and two equal widths,W
The area of the tennis court is expressed as
Area = Length × width
The area is given as 140 square meters. It means that
L× W = 140
It's length is 6 meters less than twice it's width. It means that
L = 2W - 6
Substituting L = 2W - 6 into LW = 140, it becomes
W(2W - 6) = 140
2W^2 - 6W = 140
2W^2 - 6W - 140 = 0
W^2 - 3W - 70 = 0
W^2 + 7W - 10W - 70 = 0
W( W + 7 ) - 10( W + 7) = 0
( W + 7 )(W - 10) = 0
( W + 7 ) = 0 or W - 10 = 0
W= -7 or W = 10 meters
The value cannot be negative so W = 10
L = 2W - 6 = 2×10 - 6
L = 20 - 6 = 14 meters
