Answer:
1) The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds
2) 50.24 is a rational number
Step-by-step explanation:
1) To calculate the length of the walkway, you need to find "b"
the value of b using the Pythagoras theorem can be written as,
D²=12²+b²
15²=12²+b²
225=144+b²
b²=81
b=9
the value of each of the four hypotenuses can be written as,
A = [tex]\sqrt{12^2+8^2}[/tex] = [tex]\sqrt{208}[/tex] = 14.422
B = [tex]\sqrt{6^{2} +8^{2} }[/tex] = [tex]\sqrt{100}[/tex] = 10
C = [tex]\sqrt{6^2+9^2}[/tex] = [tex]\sqrt{117}[/tex] = 10.82
D = 15
Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,
14.422 + 10 + 10.82 + 15 = 50.24
So, the entire walkway to the nearest hundredth is 50.24
2) Because Irrational numbers are ones that never end.
50.24 is a nice, round number, even though its a decimal.
