A rectangular garden has a walkway surrounding it that is 4 feet wide (a uniform width of 4 feet). The garden’s dimensions are 15ft x 20ft. Explain or show how to find the area of just the walkway and include your answer in ft2. HINT: Draw a picture!
subtract the area of the garden itself from a rectangle outside that is 20 + 4+ 4 long and 15 + 4 + 4 wide
just subtract the area of the garden from the whole area
(15+8)(20+8) - 15*20 = ____
To find the area of just the walkway surrounding the garden, you need to subtract the area of the inner rectangular garden from the area of the outer rectangular garden.
First, calculate the area of the inner rectangular garden. The dimensions of the inner rectangular garden are 15ft - 2(4ft) (subtracting the width of the walkway from the total width) and 20ft - 2(4ft) (subtracting the width of the walkway from the total length). So, the dimensions of the inner rectangular garden are 7ft x 12ft.
The area of the inner rectangular garden can be calculated by multiplying the length by the width: 7ft x 12ft = 84ft².
Next, calculate the area of the outer rectangular garden. The dimensions of the outer rectangular garden are 15ft (the total width) and 20ft (the total length). So, the dimensions of the outer rectangular garden are 15ft x 20ft.
The area of the outer rectangular garden can be calculated by multiplying the length by the width: 15ft x 20ft = 300ft².
Finally, subtract the area of the inner garden from the area of the outer garden to find the area of just the walkway: 300ft² - 84ft² = 216ft².
Therefore, the area of just the walkway is 216ft².
To find the area of just the walkway, we first need to find the total area of the rectangular garden including the walkway.
To do this, we add the width of the walkway on both sides of the garden.
The new dimensions of the garden with the walkway would be:
Length: 15ft + 2 * 4ft = 15ft + 8ft = 23ft
Width: 20ft + 2 * 4ft = 20ft + 8ft = 28ft
Now that we have the dimensions of the garden with the walkway, we can find the total area:
Area = Length * Width
Area = 23ft * 28ft
Area = 644ft²
Next, we need to find the area of just the garden without the walkway.
To do this, we subtract the area of the original garden from the total area we just calculated.
Area of garden = Area of garden with walkway - Area of original garden
Area of garden = 644ft² - (15ft * 20ft)
Area of garden = 644ft² - 300ft²
Area of garden = 344ft²
Finally, to find the area of just the walkway, we subtract the area of the garden from the area of the garden with walkway:
Area of walkway = Area of garden with walkway - Area of garden
Area of walkway = 644ft² - 344ft²
Area of walkway = 300ft²
The area of just the walkway is 300 square feet.