help with my prodject please???

Question

please give me the answers or tell me what to do step by step,,the best answers getts the 10 points,,,

suppose that a 40 acre lot is a trapazoid, rectangle, or isosceles triangle:

make a sketch of a trapezoid and isosceles train. and label the dimentions of the lot in feet.
(a) what would be the approximate perimeter in feetof the lot

(b) compare the perimeter of your lotand discuss which which one would take the longest to walk around?

(c) if a driving speed for not a paved road is 25 mph, how long it would take you to drive around the lotin question 3(b)


thank you for reading this,,have a nice day

Answer 1

Start by drawing the pictures. Draw a trapezoid, a rectangle, and an iscoclese triangle. Assign dimensions to each.
For the iscocelese triangle, you want 1/2 b h = 40 acres
For the rectangle you want lw = 40 acres.
For the trapezoid you want 1/2 (B + b) = 40 acres.
Notice that you need more information to define the trapezoid than you need to define the triangle or rectangle.
Perimeters can vary according to the dimensions of the figure. In general, you'll have a smaller perimeter when the dimensions are close to equal, that is, if the rectangle is a square or nearly a square, if the triangle is equilateral or nearly so, if the trapezoid has all sides nearly equal. (you can't have them all equal becasue then it's not a trapezoid, it's a parallelogram; but you can have one base only slightly bigger than the other). You 'll have a larger perimeter if the dimensions are very different, such as a long and skinny triangle, rectangle, or trapeziod. This would be where you'd experiment and explore.
One thing I'd want to do early on is convert the acres to some more handy unit such as square feet. That way your perimeters will come out in feet, which you can convert easily to miles for the next part of your question.
A quick search online told me that 40 acres is approx 1742400 ft^2
Another thing is, do you know what these figures look like? And the relevant forumlas?
http://mathworld.wolfram.com/Trapezoid.html
http://en.wikipedia.org/wiki/Triangle
http://www.mathopenref.com/rectanglearea.html
For the driving time, that would depend on the perimeters. Since distance = rate x time, time = distance / rate. So you'd then convert your feet into miles (divide by 5280) and then convert this into driving time by dividing by 25 mph.
This is about as far as I want to go with this, since I don't know what level you're on. If you're in calculus or trig you'd approach this project differently than if you're in basic algebra, HS algebra, plane geometry, etc.
This is supposed to be an exploratory project for you to learn by doing. So I hope I've told you enough to get you started so you can do it. And i hope no one here does it for you. You won't learn that way. that's like going to the gym to lift weights and rigging up a machine to lift the weights for you. You don't get strong that way. You learn and get strong by doing it.

Answer 2

First realize that 40 Acres = 40*43,560 = 1,742,400 ft^2

The area of an isoceles triangle is ab/2 where a is the altitude and bis the base. So ab/2 = 1,742,400 ft^2
Therefore ab = 2*1,742,400 ft^2 = 3,484 800 ft^2
Now you can pick any values for a and b that you want.
a= 400 and b = 8712. So draw your triangle the base is 8712 feet and altitude is 400 feet.

Now each of the two equal sides will be equal to
sqrt[(b/2)^2 +a^2] sqrt(4356^2 + 400^2) = 4,374.33 feet
So the perimeter of the triangle would be
2*4,374.33 +8712=17,460.66 feet.

Now for the trapezoid the area is (b1+b2)h/2 where b1 is the lower base, b2 is the upper base, and h is the altitude.

So just set that = 1,742,400 ft^2 and select values for h, b1 and b2 that satisfy (b1+b2)h/2 = 1,742,400 .

Then figure out the perimeter.

Answer 3

You need to start drawing geometric shapes.

You also need to know the following formulas for parts a and b:

Perimeter of trapezoid is: P = side 1 + side 2 + side 3 + side 4

Perimeter of isosceles triangle is: P = 2a + 2b

Perimeter of rectangle is: P = 2L + 2W

To answer part c, you need the distance formula, which is:

Distance = rate(time). This formula is written like this:

D = rt.

Now, use the formulas I gave you and the data in the question to do your homework.

BIG TIP: Equate all formulas to 40 acres.

Get it?

Guido

Answer 4

I have an idea If you do your own homework you can learn from it
If you do you homework but dont have an idea what 1 part of the homework tells you(but you have an understanding) then you come to us. Don't ask someone for help if you don't even try because you are only hurting yourself and your grade.

Answer 5

Do your own work, you should get an F for cheating.