Question

Steve is turning half of his backyard into a chicken pen. His backyard is a 24-meter by 45-meter rectangle. He wants to put a chicken wire fence along the west side of the yard, the south side of the yard, and along the diagonal connecting the northwest to the southeast corner of the yard.
How many meters of fencing will Steve need to fully enclose this area?

Answer 1

The diagonal line is equal to $\sqrt{24^{2} + 45^{2} }$ using pythagoras' theorem of $a^{2} + b^{2} = c^{2}$. This gives us a value of 51m for the diagonal line.

TOTAL; 51+24+45=120m of fencing 

Answer 2

Answer:

51 meters

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the diagonal line.

The equation for the Pythagorean Theorem is

a^2 + b^2 = c^2a  

2

+b  

2

=c  

2

a, squared, plus, b, squared, equals, c, squared

where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.

In this case a=24,b=45,a=24,b=45,a, equals, 24, comma, b, equals, 45, comma and c=xc=xc, equals, x.

Hint #33 / 4

\begin{aligned} 24^2+45^2 & = x^2\\ 576+2025 & = x^2\\ 2601 & = x^2\\ \sqrt{2601} & = x\\ 51 & = x \end{aligned}  

24  

2

+45  

2

 

576+2025

2601

2601

​  

 

51

​  

 

=x  

2

 

=x  

2

 

=x  

2

 

=x

=x

​  

 

Hint #44 / 4

Steve will need 515151 meters of fencing.