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

The Area is $A=l * w$ and we know that $w=\frac{l}{2}$

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

Answer 2

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