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a landscaper is creating a rectangular flower bed such that the width is half of the length. The area of the flower bed is 34 square feet. Write and solve an equation to determine the width of the flower bed, to the nearest tenth of a foot

Verified Answer :

taskmasters

As for this problem, we will
first establish that the length of the flower bed be represented as x, the
width of the flower bed be represented as x/2 ,and the area of the flower bed
be taken as it is since it is given. We then follow the formula for area which
is length multiplied to width which is:

A = LW


we then
substitute them


34 square
feet = x (x/2)

now all
we need to do is find x first.


34 square
feet = x squared / 2

now do a
cross multiplication


68 square
feet = x squared

then get
the square root of both sides


8.246
feet = x


Since x
is equal to the length of the flower bed, all we have to do to get the width of
it is to divide it by 2. So...


W = x/2

W = 8.246
feet / 2

W = 4.123
feet

And since
the problem asked it to find the width of the flower bed to the nearest tenth
of a foot, the answer would be 4.1 ft.

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