134k views
1 vote
The length of a tennis court is 10 feet shorter than 3 times its width x express and the perimeter of the tennis court in terms x

2 Answers

1 vote

Final answer:

The length of the tennis court is 3x - 10. The perimeter of the tennis court in terms of x is 8x - 20.

Step-by-step explanation:

The length of a tennis court can be expressed in terms of x as follows:

Length = 3x - 10

The width of the tennis court is represented by x. Therefore, the perimeter can be calculated by adding the length of all four sides.

Perimeter = 2(length + width)

Substituting the expression for length, the perimeter can be written as:

Perimeter = 2((3x - 10) + x) = 2(4x - 10) = 8x - 20

Therefore, the perimeter of the tennis court in terms of x is 8x - 20.

User Fawkes
by
7.0k points
6 votes

First, let's define our variables.


Let's call our width X(given)

and our length, since it's 10 shorter than 3 times the width, we can call our length:

3x-10

So, the perimeter of a rectange is equal to 2 times the length + 2 times the width.


So, when we plug our values in, we get


2(3x-10)+2x\\6x-20+2x\\8x-20

The perimeter is 8x-20


User Tobias Heinicke
by
8.2k points