A rectangular yard measuring 25 m by 37 m is borderd and surrounded by a fence .Inside, a walk that is 2 m wide goes all the way along the fence.Find the area of this walk
A: 264
B: 120
C: 264
D: 693
To find the area of the walk inside the fence, we need to subtract the area of the rectangular yard from the area of the larger rectangle formed by the outer edge of the walk.
The rectangular yard measures 25 m by 37 m, using the formuale
A = length * width
A = 25 m×37 m = 925 m
A = 925m².
The walk is 2 m wide along each side, so we need to add 4 m (2 m on each side) to both the length and width of the rectangular yard to get the dimensions of the larger rectangle formed by the outer edge of the walk.
The dimensions of the larger rectangle
length = 25 m+4 m = 29m
width = 37 m+4 m = 41m
So, the area of the larger rectangle using the formulae A = Length * width
A = 29 * 41
A = 1189m².
Now, to find the area of the walk inside, subtract the area of the rectangular yard from the area of the larger rectangle:
Area of walk = Area of larger rectangle − Area of rectangular yard
Area of walk = 1189 m² − 925 m²
Area of walk = 1189m² − 925m²
Area of walk = 264m²
So, the area of the walk inside the fence is 264 m².
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