Question

Jordans have a rectangular garden. want to build a diagonal pathway across he garden. the length of pathway is 90 ft. width of garden is 5 times more than 2 times the length of garden. what is length of garden?

Answer 1

So we see the pythagorean theorem
a^2+b^2=c^2
diagonal=c
width=a or b, pick one
width=a
legnth=b
width is 5 times more than 2 times legnth of garden
w=5(2legnth)
this doesn't make sense since the legnth is normally longer than the width, but we'll stick with that
w=5(2l)
w=10l
a=10b
(10b)^2+b^2=90^2
100b^2+b^2=8100
101b^2=8100
divide by 101
b^2=80.198 aprox 80.2
square root
8.95533
legnth of garden =8.96
to find width subsitue
w=10l
w=89.56

legnth=8.96
width=89.56

Answer 2

P=2l+2w
w=5(2l)
45=10l
4.5=l
---------------
P=2l+2(5(2l))
P=2l+20l
P=22l
P=99