Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A park shaped like a pentagon has four equal length sides and one unequal side whose length is 35 feet (ft). The perimeter of the park is 
195ft. What is the length in feet of one of the equal length sides?

A park shaped like a pentagon has four equal length sides and one unequal side whose length is 3535 feet (ft) (\mathrm{ft}) . The perimeter of the park is 195ft 195 \mathrm{ft} . What is the length in feet of one of the equal length sides?

Full solution

Q. A park shaped like a pentagon has four equal length sides and one unequal side whose length is 3535 feet (ft) (\mathrm{ft}) . The perimeter of the park is 195ft 195 \mathrm{ft} . What is the length in feet of one of the equal length sides?
  1. Understanding Problem: Understand the problem and identify the known values.\newlineThe park is a pentagon with four sides of equal length and one side that is unequal, which is 3535 feet long. The total perimeter of the park is 195195 feet.
  2. Calculate Combined Length: Calculate the combined length of the four equal sides.\newlineSince the perimeter is the sum of all sides and we know one side is 3535 feet, we subtract this from the total perimeter to find the combined length of the four equal sides.\newline195ft195 \, \text{ft} (total perimeter) - 35ft35 \, \text{ft} (unequal side) = 160ft160 \, \text{ft} (combined length of equal sides)
  3. Determine Length of One Equal Side: To find the length of one equal side, divide the combined length of the equal sides by 44, since there are four equal sides.\newline160ft4=40ft\frac{160 \, \text{ft}}{4} = 40 \, \text{ft}

More problems from Pythagorean Theorem and its converse