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MArishka [77]
3 years ago
11

Kate wants to build a fence around her garden to prevent her rabbits from eating her vegetables. The rabbit fencing costs $7.50

per metre. How much will it cost to enclose a square garden with an area of 144m^?
Mathematics
1 answer:
GuDViN [60]3 years ago
5 0
It will cost $360 to enclose a square garden.

We need to find the perimeter of the square to know the number of meter needed and multiply it to the unit cost of the fence to get the total cost.

Given:
fence = 7.50 per meter
Area of a square = 144 m²

Area of a square = s²
s = √144m²
s = 12m

Perimeter of a square = 12m x 4 sides = 48 meters.

48 meters x $7.50 = $360
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Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

V=\frac{s^2h}{3}

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Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

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