Answer:
a. <em>about 187 feet</em>
b. <em>about 19 trees</em>
c. <em>about 228 dollars</em>
What we know:
- 80 ft = hypotenuse
- 35 ft = short side
- x ft = long side
- it is a <em>right</em> triangle
a. Find the perimeter of the field. <em>about 187 feet</em>
<u>solve for the missing side length ('x')</u>:
- 35^2 + x^2 = 80^2
- 1225 + x^2 = 6400
- x^2 = 5175
- x = 15sqrt(23) or approx. 71.92
<u>add all side lengths</u>:
- P = 80 + 35 + 71.92
- P = 115 + 72 (rounded)
- P = 187 ft
b. You are going to plant dogwood seedlings about every ten feet around the field's edge. How many trees do you need? <em>about 19 trees</em>
- divide perimeter by 10 187/10 = 18.7
- round 18.7 trees = about 19 trees
c. If each dogwood seedling sells for $12, how much will the trees cost? <em>about $228</em>
- multiply trees by cost of each $12 x 19 trees = $228
- about $228 for the trees