We have a 17 by 20-foot garden. We want to pour cement for a sidewalk 3 feet wide around the garden. To make the forms for the cement, we will need to buy some 2 by 4 inch lumber. How many feet of 2 by 4 inch lumber will we need just for the perimeter of the walk? (Consider both inside and outside perimeter.)
Perimeter = 2(width+length)
For garden,
width=17'
length=20'
perimeter(inside)=2(17+20)=74'
For outside of sidewalk,
width = 17+2*3'=23'
length= 20+2*3'=26'
perimeter(outside)=...
Can you calculate the outside perimeter and add up the two perimeters?
172
To find out the amount of 2 by 4 inch lumber needed for the perimeter of the walk, you first need to calculate the dimensions of the walk.
The garden is 17 by 20 feet in size.
To pour a sidewalk 3 feet wide around the garden, you need to add 3 feet to each dimension. So the new garden size, including the walk, will be:
17 + 2(3) = 17 + 6 = 23 feet
20 + 2(3) = 20 + 6 = 26 feet
To find the perimeter of the walk, you need to add up all the sides:
2(23) + 2(26) = 46 + 52 = 98 feet
Therefore, you will need 98 feet of 2 by 4 inch lumber for the perimeter of the walk.
To find the amount of 2 by 4-inch lumber needed for the perimeter of the walk, we first need to calculate the perimeter of the walkway.
Given:
Length of the garden = 17 feet
Width of the garden = 20 feet
Width of the walkway = 3 feet
To find the length of the walkway, we will subtract twice the width of the walkway from the total length and width of the garden:
Length of the walkway = Length of the garden - (2 * Width of the walkway)
= 17 feet - (2 * 3 feet)
= 17 feet - 6 feet
= 11 feet
Width of the walkway = Width of the garden - (2 * Width of the walkway)
= 20 feet - (2 * 3 feet)
= 20 feet - 6 feet
= 14 feet
Now that we have the dimensions of the walkway (11 feet by 14 feet), we can calculate its perimeter:
Perimeter of the walkway = 2 * (Length of the walkway + Width of the walkway)
= 2 * (11 feet + 14 feet)
= 2 * (25 feet)
= 50 feet
Since the lumber needed is for both the inside and outside perimeter of the walkway, we need to multiply the total perimeter by 2:
Total length of 2 by 4-inch lumber needed = 2 * Perimeter of the walkway
= 2 * 50 feet
= 100 feet
Therefore, you will need 100 feet of 2 by 4-inch lumber for the perimeter of the walk.