The perimeter of a school volleyball court is ft. and the length is twice the width. What are the dimensions of the volleyball court?
Answer
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Hint: In this problem we need to find the dimensions of the volleyball court. That is, we have to find length and width. For this, we will use the formula of perimeter of rectangle because a volleyball court is shaped like a rectangle. Also we will use the given information that the length is twice the width.
Complete step-by-step answer:
Let us assume that is the length (in ft.) and is the width (in ft.) of a school volleyball court. A volleyball court is shaped like a rectangle. So, we will use the formula of perimeter of the rectangle. We know that the perimeter of a rectangle is given by where is the length and is the width of a rectangle. So, in this problem we can say that the perimeter of a school volleyball court is .
In the problem it is given that the perimeter of a school volleyball court is (in ft.). So, from we can write .
Also given that the length is twice the width . So, we can write . Now we are going to substitute in equation , we get
We can see that the equation is linear equation in one variable. Let us solve this equation and find . For this, we will divide by on both sides of equation . So, we get
Now we substitute width ft. in to find the length . Therefore, we get ft.
Therefore, the length of a school volleyball court is ft. and the width of a school volleyball court is ft.
Note: The sum of length of all sides of a rectangle is called the perimeter of a rectangle. In a rectangle, there are two parallel (opposite) sides with equal length. Also there are four right angles. The area of a rectangle is given by where is the length and is the width of a rectangle.
Complete step-by-step answer:
Let us assume that
In the problem it is given that the perimeter of a school volleyball court is
Also given that the length
We can see that the equation
Now we substitute width
Therefore, the length of a school volleyball court is
Note: The sum of length of all sides of a rectangle is called the perimeter of a rectangle. In a rectangle, there are two parallel (opposite) sides with equal length. Also there are four right angles. The area of a rectangle is given by
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