A rectangular pool is 40 meters long and 30 feet wide. A walkway 3 feet wide surrounds the pool. What is area of the walkaway.
The length of the walkway = 46 and the width of the walkway = 36.
(46*36) - (40*30) = ?
All dimensions are assumed to be in feet.
Lo = 3 + 40 + 3 = 46 Ft. = Length of outer rectangle.
Wo = 3 + 30 + 3 36 Ft. = Width of o = uter rectangle.
Ao = Lo * Wo = 46 * 36 = 1656 Ft^2.
Ap = 40 * 30 = 1200 Ft^2.
Ao - Ap = 1656 - 1200 = 456 Ft^2. = Area of walkway.
Another Method:
L = 2*(3+40+3) + 30 + 30 = 152 Ft. = Length of walkway.
A = L*W = 152 * 3 = 456 Ft^2.
To find the area of the walkway, we need to first calculate the area of the outer rectangle (which includes both the pool and the walkway), and then subtract the area of the pool itself. Let's break down the steps:
1. Find the area of the outer rectangle: The length of the pool is 40 meters and the width is 30 feet. To ensure consistent units, let's convert the length to feet. Since 1 meter is approximately 3.281 feet, the length of the pool in feet is 40 * 3.281 = 131.24 feet. Adding the walkway's width on all four sides gives us the dimensions of the outer rectangle: length = (131.24 + 2 * 3) feet and width = (30 + 2 * 3) feet.
2. Calculate the area of the outer rectangle: The formula for finding the area of a rectangle is length * width. Using the dimensions from step 1, the area of the outer rectangle is (131.24 + 2 * 3) * (30 + 2 * 3) square feet.
3. Find the area of the pool: The dimensions of the pool are 131.24 feet by 30 feet. Thus, the area of the pool is 131.24 * 30 square feet.
4. Calculate the area of the walkway: To find the area of the walkway, subtract the area of the pool from the area of the outer rectangle. So, (131.24 + 2 * 3) * (30 + 2 * 3) - (131.24 * 30) square feet is the area of the walkway.
5. Perform the calculations: Plug in the values and perform the calculations to find the area of the walkway.
Let me perform the calculations:
Area of the outer rectangle = (131.24 + 2 * 3) * (30 + 2 * 3) = 137.24 * 36 = 4948.64 square feet.
Area of the pool = 131.24 * 30 = 3937.2 square feet.
Area of the walkway = Area of the outer rectangle - Area of the pool = 4948.64 - 3937.2 = 1011.44 square feet.
Therefore, the area of the walkway is 1011.44 square feet.