Knowee
Questions
Features
Study Tools

he rectangular playground in Mohammed's school is three times as long as it is wide. The perimeter of the playground is 200 meters. What is the length of the long side?

Question

he rectangular playground in Mohammed's school is three times as long as it is wide. The perimeter of the playground is 200 meters. What is the length of the long side?

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's denote the width of the playground as x.

Since the playground is three times as long as it is wide, the length of the playground is 3x.

The perimeter of a rectangle is calculated by the formula: 2*(length + width).

In this case, the perimeter is 200 meters. So, we can set up the equation:

2*(3x + x) = 200

Solving this equation will give us the values of x (width) and 3x (length).

Step 1: Simplify the equation:

2*(4x) = 200

Step 2: Divide both sides by 2:

4x = 100

Step 3: Divide both sides by 4:

x = 25

So, the width of the playground is 25 meters.

The length of the playground is 3 times the width, so the length is:

3x = 3*25 = 75 meters.

So, the length of the long side of the playground is 75 meters.

This problem has been solved

Similar Questions

A rectangular park is 90 meters wide and 120 meters long.Give the length and width of another rectangular park that has the same perimeter but a smaller area.

The length of a rectangle is four times its width.If the perimeter of the rectangle is 80 cm, find its length and width.

The length of a rectangle is three times its width.If the perimeter of the rectangle is 40 cm, find its length and width

A rectangular garden measures 15 meters in length. If the perimeter of the garden is 50 meters, what is its area?175 𝑚2150

The perimeter of a rectangular field is P feet. The width ofthe field is 200 less than its length. In terms of P, what is thelength of the field in feet?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.