A holding pen for cattle must be square and have a diagonal length of 84 84 meters. a. find the length of a side of the pen. b. find the area of the pen.
Mathematics
vspink6181
Question
A holding pen for cattle must be square and have a diagonal length of 84 84 meters.
a. find the length of a side of the pen.
b. find the area of the pen.
a. find the length of a side of the pen.
b. find the area of the pen.
1 Answer

1. User Answers calculista
we know that
Applying the Pythagoras Theorem
c²=a²+b²
in a square
a=b
c is the diagonal> 84 m
c²=2a²> a²=c²/2> a²=84²/2> a²=3528> a=√3528 m
the answer part a) is
√3528 m or 59.40 m
the area of the pen is a²> 3528 m²
the answer Part b) is
3528 m²