A rectangular piece of land has a flower garden in the middle surrounded by a walkway 1m wide all around. The flower garden is 12m by 6m. calculate the area of the piece of land that does not have flowers.
the whole thing is 14 m by 8 m
so the walkway area is
14*8 - 12*6
To calculate the area of the piece of land that does not have flowers, we need to subtract the area of the flower garden from the total area of the rectangular piece of land.
First, let's calculate the total area of the rectangular piece of land. The formula to calculate the area of a rectangle is length multiplied by width. In this case, the length of the land is the sum of the length of the flower garden and twice the width of the walkway, and the width of the land is the sum of the width of the flower garden and twice the width of the walkway.
Length of the land = length of the flower garden + 2 * width of the walkway
= 12m + 2 * 1m
= 12m + 2m
= 14m
Width of the land = width of the flower garden + 2 * width of the walkway
= 6m + 2 * 1m
= 6m + 2m
= 8m
Now that we know the length and width of the land, we can calculate the area of the land.
Area of the land = length of the land * width of the land
= 14m * 8m
= 112m²
Next, we need to calculate the area of the flower garden. The formula to calculate the area of a rectangle is length multiplied by width.
Area of the flower garden = length of the flower garden * width of the flower garden
= 12m * 6m
= 72m²
Finally, to find the area of the piece of land that does not have flowers, we subtract the area of the flower garden from the total area of the land.
Area of land without flowers = Area of the land - Area of the flower garden
= 112m² - 72m²
= 40m²
Therefore, the area of the piece of land that does not have flowers is 40 square meters.