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A new outdoor recreation center is being built in safe harbor . The perimeter of the rectangular playing field is 350 yards. The length of the field is 9 yards less than triple the width. What are the dimensions of the playing​ field?

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Answer:

Explanation:

To find the dimensions of the playing field, we can set up equations based on the given information.

Let's assume the width of the field is "x" yards.

According to the problem, the length of the field is 9 yards less than triple the width. So, the length can be expressed as 3x - 9.

The perimeter of a rectangle is given by the formula: P = 2(length + width).

We are given that the perimeter is 350 yards, so we can set up the equation:

350 = 2(3x - 9 + x)

Now, let's solve for x:

350 = 2(4x - 9)

350 = 8x - 18

368 = 8x

x = 46

Therefore, the width of the playing field is 46 yards.

To find the length, we substitute the value of x into the expression for the length:

Length = 3x - 9 = 3(46) - 9 = 129

Therefore, the length of the playing field is 129 yards.

So, the dimensions of the playing field are 46 yards (width) and 129 yards (length).

User Omar Kooheji
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