I need help on where to begin with this problem.
You are installing a new deck around your pool. The pool is rectangular with the dimensions 8m by 4m. The deck will surround the pool and will have a width by 2m.
What is the area of the deck?
I know that A=LxW and that the Area of the pool would be 32m(squared). But, how do I go about only finding the area of the deck?
You have to find the area of the pool first then you will have to multiply the width of the deck by the area of the pool which should give you the answer good luck
To find the area of the deck, you can subtract the area of the pool from the area of the deck and the pool combined. Here's how you can do it step by step:
1. Start by finding the area of the pool. The pool is rectangular with dimensions 8m by 4m, so you can calculate its area using the formula A = L x W. In this case, the area of the pool is 8m x 4m = 32m².
2. Next, find the combined area of the pool and the deck. Since the deck surrounds the pool, you will need to add the width of the deck on both sides of each dimension of the pool. In this case, the width of the deck is 2m. So, you can add 2m to both the length and width of the pool.
- Length of the combined area = Length of the pool + 2 x Width of the deck
= 8m + 2m + 2m
= 12m
- Width of the combined area = Width of the pool + 2 x Width of the deck
= 4m + 2m + 2m
= 8m
Using these dimensions, you can calculate the area of the combined area using A = L x W. In this case, the combined area is 12m x 8m = 96m².
3. Finally, to find the area of the deck alone, subtract the area of the pool from the combined area of the pool and the deck. In this case, the area of the deck is 96m² - 32m² = 64m².
So, the area of the deck is 64 square meters.