Question

Picture included please help! The plan of a parcel of land is represented by

trapezoid ABCD in the accompanying diagram. If
the area of A ABE is 600 square feet, find the
minimum number of feet of fence needed to
completely enclose the entire parcel of land,
ABCD.

Answer 1

260 feet of fence

Explanation:

The area of a triangle is found using the formula A=.5(base)(height). You can plug in your known values to solve for the base of the triangle. (It should look something like 600=.5(40)(x), where you can combine to get 600=20x, divide by 20, and get that x =30.). Next, to find the diagonal length of the triangle, you use the Pythagorean theorem, which is
`a^(2) +b^(2) =c^(2)`. You plug in 40 for a, and 30 for b, and solve to get that c is 50. You now have all of your missing side lengths. You add them all together (40+70+70+30+50) to get 260.