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horsena [70]
2 years ago
9

In your town, there is a field that is in the shape of a right triangle with the dimensions shown. (Round answers to the nearest

whole number).
The picture is a right triangle with 35 ft as the short side, x ft is the long side, and 80ft is the length of the hypotenuse.

a. Find the perimeter of the field.

About ____ feet.

b. You are going to plant dogwood seedlings about every ten feet around the field's edge. How many trees do you need?

About______trees.

c. If each dogwood seedling sells for $12, how much will the trees cost?

About______ dollars

How would you do problems a and b step by step?
Mathematics
1 answer:
SOVA2 [1]2 years ago
5 0

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>:

  1. 35^2 + x^2 = 80^2
  2. 1225 + x^2 = 6400
  3. x^2 = 5175
  4. x = 15sqrt(23) or approx. 71.92

<u>add all side lengths</u>:

  1. P = 80 + 35 + 71.92
  2. P = 115 + 72 (rounded)
  3. 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>

  1. divide perimeter by 10 187/10 = 18.7
  2. 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>

  1. multiply trees by cost of each $12 x 19 trees = $228
  2. about $228 for the trees
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