Park Feature Area and Perimeter Calculations

Hi Keita, let's solve this together. We'll start by analyzing the park diagram to answer the questions about the flower garden and the areas of the other features.

First, let's find the cost to surround the flower garden with wooden edging. To do this, we need to calculate its total perimeter by adding up all its outer boundaries.

The top boundary is a semicircle with a diameter of seven meters. Let's find the length of this curved arc.

Substituting seven for d, we get approximately eleven point zero zero meters.

Now, we add the three straight sides of length eleven point five meters, fifteen meters, and seven point nine four meters to our arc length.

Summing these values gives a total perimeter of forty-five point four-four meters.

Since the garden edging is sold in five-meter rolls, we divide the perimeter by five to find how many rolls we need.

Since we cannot buy a fraction of a roll, we must round up to the nearest whole number, which gives us ten rolls.

At sixty-three dollars and ninety-nine cents per roll, ten rolls will cost a total of six hundred and thirty-nine dollars and ninety cents.