Question

Dan builds an 11m by 8m garden in his backyard. The garden has a 2m wide pathway around it.find the area of the path

Answer 1

To determine the area of the pathway, calculate the area of the outer rectangle including the path and subtract the area of the garden. The pathway's area is 92 square meters.

Step-by-step explanation:

To find the area of the path surrounding Dan's garden, we need to calculate the area of the larger rectangle including the path and subtract the area of the garden itself.

Steps:

1. Find the outer dimensions of the rectangle including the path. Since the path is 2m wide, add 4m to each dimension of the garden (2m for each side): 11m + 4m = 15m (length), 8m + 4m = 12m (width).
2. Calculate the area of the larger rectangle by multiplying the outer dimensions: 15m * 12m = 180m2.
3. Calculate the area of the garden: 11m * 8m = 88m2.
4. Subtract the area of the garden from the area of the larger rectangle to find the area of the pathway: 180m2 - 88m2 = 92m2.