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Question

Difficulty: EasyPerimeter and Area of 2D Figures

A competitive swimmer is walking around the outer edge of a rectangular pool to warm up. If the pool has a length of 5050 meters and a width of 2525 meters, what is the total perimeter of the pool, in meters?

Answer: 150 meters

Answer

The total perimeter of the pool is 150 meters.
The perimeter of a rectangle is found by adding the lengths of all four sides. Using the formula P=2l+2wP = 2l + 2w, we calculate 2(50)+2(25)=1502(50) + 2(25) = 150 meters.

Step-by-Step Solution

1
Identify the shape and the goal.
The shape is a rectangle and we need to find its perimeter.
Understanding what needs to be calculated determines the correct formula.
2
Recall the perimeter formula for a rectangle.
P=2l+2wP = 2l + 2w or P=2(l+w)P = 2(l + w)
The perimeter is the total distance around the outside of the shape.
3
Substitute the given dimensions into the formula.
P=2(50)+2(25)P = 2(50) + 2(25)
The length (ll) is 5050 and the width (ww) is 2525.
4
Perform the arithmetic operations.
100+50=150100 + 50 = 150
Multiplying the terms and adding them together yields the final perimeter.

Key Concept

Perimeter of Rectangles
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Topics

Perimeter and Area of 2D Figures

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