A rectangular yard measuring 30ft by 35ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the way along the fence. Find the area of this walk
fenced area is 30*35 = 1050
inner area is (30-8)(35-8) = 594
walk area is the difference: 456
To find the area of the walk, we need to subtract the area of the yard from the area of the yard with the walk included.
First, let's calculate the area of the yard:
Area of the yard = Length × Width
Area of the yard = 30 ft × 35 ft
Area of the yard = 1050 sq ft
Next, let's calculate the area of the yard with the walk included:
Since the walk is 4 ft wide, we need to increase the length and width of the yard by 8 ft (4 ft on each side) to accommodate the walk.
Length of the yard with the walk = Length + 2 × Walk Width
Length of the yard with the walk = 30 ft + 2 × 4 ft
Length of the yard with the walk = 30 ft + 8 ft
Length of the yard with the walk = 38 ft
Width of the yard with the walk = Width + 2 × Walk Width
Width of the yard with the walk = 35 ft + 2 × 4 ft
Width of the yard with the walk = 35 ft + 8 ft
Width of the yard with the walk = 43 ft
Area of the yard with the walk = Length of the yard with the walk × Width of the yard with the walk
Area of the yard with the walk = 38 ft × 43 ft
Area of the yard with the walk = 1634 sq ft
Finally, we can calculate the area of the walk by subtracting the area of the yard from the area of the yard with the walk included:
Area of the walk = Area of the yard with the walk - Area of the yard
Area of the walk = 1634 sq ft - 1050 sq ft
Area of the walk = 584 sq ft
Therefore, the area of the walk is 584 square feet.