lgjman23
contestada

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

Respuesta :

twvogels
The Area is [tex]A=l * w[/tex] and we know that [tex]w=\frac{l}{2}[/tex]

Therefore: [tex] 34=l * \frac{l}{2} = \frac{l^{2}}{2}[/tex]
[tex]68=l^{2}[/tex]
[tex]\sqrt{68}=l=8.246[/tex]
and thus:
[tex]w=\frac{8.246}{2}[/tex]
[tex]w=4.123[/tex]
round to nearest tenth:
[tex]w=4.1feet[/tex]
apologiabiology
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