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Nadia wants to enclose a square garden with fencing. It has an area of 141 square feet. To the nearest foot, how much fencing will she need?

Respuesta :

Answer:  Nadia needs 47 feet of fencing.

Step-by-step explanation:  Given that Nadia wants  to enclose a square garden with fencing. It has an area of 141 square feet.

We are to find the quantity of the fencing needed.

Let x represents the side length of the square garden.

Then, according to the given information, we have

[tex]x^2=141\\\\\Rightarrow x=\pm\sqrt{141}\\\\\Rightarrow x=\pm11.87.[/tex]

Since x is the length, so it cannot be negative.

That is, x = 11.87 feet.

Therefore, the quantity of fencing that is needed is given by

[tex]4\times x=4\times11.87=47.48.[/tex]

To the nearest foot, the total fencing needed is 47 feet.

Thus, Nadia needs 47 feet of fencing.

fichoh

The amount of fencing required for the square garden is 47 feets(nearest foot).

Recall :

Area of square = a²

Where, a = side length of the square garden

  • The area of the square garden, = 141 ft²

a² = 141

Take the square root of both sides :

a = √141

a = 11.874 feets

The side length of the square garden is 11.874 feets

The required fencing = perimeter of the square garden

  • The perimeter of a square = 4a

Hence, the perimeter of the square garden = 4(11.874) = 47.496 feets.

Therefore, the required fencing for the square garden is 47 feets to the nearest foot.

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