A rectangular field is 13 m long and 10 m wide. its has a cement path 3 1/2 m wide around it. What is the area of the cement path?
area of field alone: 13*10 = 130
area of field+path: (13+7)(10+7) = 340
area of path: 340-130 = 210
seems like a mighty wide path for such a small field.
210
The area of a rectangular certificate is 45 square inches. The perimeter is 28 inches. What are the dimensions of the certificate
a backyard is a rectangle 15m long by 10m wide in one corner there is a rectangluar garden 5m by 3m
To find the area of the cement path, we first need to calculate the area of the larger rectangle which includes both the field and the path, and then subtract the area of the smaller rectangle which represents the field.
The length of the larger rectangle will be the original length of the field plus twice the width of the path (since the path is on both sides of the field). Similarly, the width of the larger rectangle will be the original width of the field plus twice the width of the path.
Let's calculate:
Length of the larger rectangle = Length of the field + 2 * Width of the path
= 13 m + 2 * 3 1/2 m
To add the fraction, we need to find a common denominator, which in this case is 2. So, 3 1/2 = (2 * 3 + 1) / 2 = 7/2.
Length of the larger rectangle = 13 m + 2 * 7/2 m
= 13 m + 7 m
= 20 m
Width of the larger rectangle = Width of the field + 2 * Width of the path
= 10 m + 2 * 3 1/2 m
= 10 m + 2 * 7/2 m
= 10 m + 7 m
= 17 m
Now, we can find the area of the larger rectangle (which includes the field and the path):
Area of the larger rectangle = Length * Width
= 20 m * 17 m
= 340 m^2
Next, we need to calculate the area of the smaller rectangle, which represents just the field:
Area of the smaller rectangle = Length of the field * Width of the field
= 13 m * 10 m
= 130 m^2
Finally, we can find the area of the cement path by subtracting the area of the smaller rectangle from the area of the larger rectangle:
Area of the cement path = Area of the larger rectangle - Area of the smaller rectangle
= 340 m^2 - 130 m^2
= 210 m^2
Therefore, the area of the cement path is 210 square meters.