Question

Miles is putting a fence around his garden. The total area of the garden is 4,864 square feet. The length of the garden is 152 feet. How many feet of fencing does he need to go around the whole garden?

Help pls!!

Answer 1

Since the area of any thing is length time width, we can divide 4864 by 152 to get the width of the garden. This gives us 32. Now we need to add 152 + 152 + 32 + 32 to get our total feet of fencing necessary. This would give us 368 feet of fencing.

Answer 2

Fencing required to go around the whole garden = 368 feet

To calculate the fencing needed, given measures in the question,

• Total area of the garden is 4864 square feet.
• Length of the garden is 152 feet.

Since, area of a rectangular garden is given by the expression,

Area = Length × Width  

4864 = 152 × Width

Width = $\frac{4864}{152}$

          = 32 feet

Since, length of the fence needed = Perimeter of the garden

And Perimeter of a rectangular garden is given by the expression,

Perimeter = 2(length + width)

By substituting the values of length and width of the garden in the expression,

Perimeter = 2(152 + 32)

                 = 368 feet

       Therefore, 368 feet of the fence will be required to go around the whole garden.

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