20. EXTENDED RESPONSE A gardener is reseeding a city park that has the
shape of a right triangle with a base of 150 feet and a height of 200 feet.
The third side of the park is 250 feet long.
a. One bag of grass seed covers 3750 square feet and costs $27.50. How
many bags are needed? What is the total cost?
b. Wire fencing costs $23.19 for each 50 foot roll. How much does it
cost to buy fencing to enclose the area?
c. Fence posts cost $3.19 each and should be placed every 5 feet. How many
posts are needed, and how much will they cost altogether? Explain.

Given that, a gardener is reseeding a city park that has the shape of a right triangle with a base of 150 feet and a height of 200 feet. The third side of the park is 250 feet long.

What is the formula to find the area of a triangle?

The formula to find the area of a triangle is Area of triangle = 1/2 ×base × height.

Now, A= 1/2 × 150×200

A= 15000 sq. ft

a) 1 bag of grass seed covers 3750 sq. ft

So, 15000/3750 = 4 bags

The cost of 1 bag = $27.50

4 bags = 4×27.50= $110

b) Wire fencing costs $23.19 for every 50 ft roll

Then, Perimeter P = sum of all sides = 150+200+250=600 feet

The cost of fencing 50 ft = $23.19

So, 600 ft = 600×23.19

Fencing cost of wire =$13914

c) Fence posts cost $3.19 each and need to be placed every 5 ft.

We need to find out how many posts are needed and what is the cost altogether.

Now, Perimeter = 600 feet

Posts are kept 5 ft apart

Thus, 600/5= 120 posts

Cost of 1 post = $3.19

Now, 120 posts = 119×3.19= $379.61

Therefore, the total cost of seeds to cover the total area is $110 and the total cost of fencing the park is $13914.

To learn more about the area of a triangle visit:

https://brainly.com/question/27683633.

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