# math **urgent**

posted by .

using 100 ft of fence material and building a regular octagon garden, what is the area of the garden?

• math **urgent** -

8 sides, so each side = 12.5 ft
split the octogon into 8 isosceles triangles.
Consider one triangle, the central angle is 360/8 = 45°, so each base angle = 67.5°
tan 67.5 = height/6.25
height = 6.25(tan67.5) = 15.0888...
area of one triangle = (1/2)(12.5)(15.0888..)
= 94.3052..
area of whole thing =8(94.3052..) = 754.4417

check my arithmetic, I had my calculator keep all the digits as I went along

## Similar Questions

1. ### algebra

A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 ft. of fence?
2. ### Algebra

A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 ft of fence?
3. ### math

using 100 ft of fence material an dbuilding a regular gexagon garden, what is the area of the garden?
4. ### Geometry

Harris is planting a rectangular garden with an area of 48 square feet . He is also putting a fence around his garden . How should hr arrange his garden so he can buy the least amount of fence?
5. ### Math

The dimensions of Mrs. Singleton's square garden are dilated using a scale factor of 3. What is the relationship between the area of the new garden and the old garden?

suppose you are building a fence for a garden in your yard. your yard is 50 ft wide and has an area of 500 square ft. your father has 88 feet of garden fencing,so your garden has to have a perimeter of 88 ft. how big an area would …
7. ### arithematic

A horticulturalist is building a fence around a rectangular garden using the side of the building for one side of the enclosure. she has 81 feet fencing. what should be the dimensions of the enclosure be so that she can maximize the …
8. ### math

Ricky is building a rectangular garden with an area of 100 square feet. He wants the length of the garden to equal 4 feet more than 2 times the width. Enter an equation that expresses the area of the garden in terms of the width, w, …
9. ### math

zack is planning to make a flower garden he has 24 one yard sections of fence that he plans to place around garden he wants the garden to be aas long as possible what longest length he can use for the garden how wide will the garden …
10. ### Math

Jose decided to make a vegetable garden in his rectangular backyard. The garden will be 25 ft. long and 12 ft wide. how many feet of fencing material will he need to surround the garden with a fence?

More Similar Questions