Questions: The city planning committee wants one tree planted every 20 ft along Dayton Avenue. If the perimeter of the plot of land is 240 ft , how many trees will be planted?
Transcript text: The city planning committee wants one tree planted every 20 ft along Dayton Avenue. If the perimeter of the plot of land is 240 ft , how many trees will be planted?
Solution
Solution Steps
Step 1: Find the length of Dayton Ave. along the plot.
The perimeter of the plot is 240 ft. The lengths of the sides are 68 ft, 52 ft, and two unknown equal sides marked with double hash marks. Let 'x' be the length of each unknown side.
So, 240 = 68 + 52 + 2x
240 = 120 + 2x
120 = 2x
x = 60 ft
The section of Dayton Ave. along the plot has a length equal to one of the sides marked with a single hash mark. This side has a length of 52 ft.
Step 2: Calculate the number of trees.
One tree is planted every 20 ft. The length of Dayton Ave. along the plot is 52 ft.
Number of trees = Length of Dayton Ave. / Spacing between trees
Number of trees = 52 ft / 20 ft = 2.6
Step 3: Round down to the nearest whole number.
Since we can only plant whole trees, we round 2.6 down to 2.