Question

Sidney told sam that that he would love a lot that is a trapeziod shape and is being sold for $25,000. It is a regular trapeziod with the top being 500' the sides being 250' each and the bottom being 1000'. George doesn't know if it's worth it so he wants to figure out the number of square feet and the number of scres he owuld be getting. if 43, 560 square feet are in an acre, how many square feet and acres are there total?

*I am confused on this problem of how to find the height of this trapezoid. Any help would be greatly appreciated.

Answer 1

draw out the picture of the trapezoid. Since it is a regular trapezoid the bottom angles on both sides are the same. If you draw imaginary lines from the top to the bottom you can form a figure composed of two triangles and 1 square in the middle. You can then use some right triangle trig to determine the height. The hypotenuse is 250'. the bottom of the triangle is 500/2. so it is also 250'. use the pythagoream thereom to find the other leg