Question

A landscaper is creating a rectangular flower bed such that the width is half of the length.The area of the flower that is 34 ft.² Write an equation to determine the width of the flower bed to the nearest tenth of a foot

Answer 1

area=LW
W=L/2
2W=L
A=34
sub 34 for A and 2W for L
34=(2W)W
34=2W^2
divide 2
17=W^2
square root both sides
4.12=W
round tenth
4.1 ft=W

Answer 2

The Area is
`A=l * w` and we know that
`w=(l)/(2)`

Therefore:
`34=l * (l)/(2) = (l^(2))/(2)`

`68=l^(2)`

`√(68)=l=8.246`
and thus:

`w=(8.246)/(2)`

`w=4.123`
round to nearest tenth:

`w=4.1feet`