Answer:
B. 150 yards
Step-by-step explanation:
Area of a Triangle = .5 * Base * height
So we need the height of the triangle, or the missing side.
We have to use Pythagorean Theorem to solve this:
A^2 + B^2 = C^2
15 ^ 2 + B ^ 2 = 25 ^2
b^2 = 25^2 - 15 ^ 2
b^2 = 625 - 225
b^2 = 400
sqrt (400) = 20
The missing height is 20. Now we plug it into 1/2 * b * H
.5 * 15 * 20
7.5 * 20 = 150
150 Yds
this is your answer, i hope this helps you
So, first, what are the two sides?
let's call then x and y
we know that 2(x+y)=12.5 (that's the distance around)
so that means that x+y=6.25 (I just divided both by 2)
now, x=4y (from "4 times as long as it is wide")
so we can substitute:
x+4x=6.25
5x=6.25
x=1.25
so one side, is 1.25 and the other will be 1.25*4=5
and for the area we multiply the two:
1.25*5=6.25 square kilometers, and this is the answer!
