Question

If the gate is 5 2/3 meters long and 6 2/5 meters wide, how much fence will be needed to buy? What is the area of the garden?

Answer 1

1. We need to buy 22.8 meters of fence

2. Area of garden is 36.2 meters^2

Step-by-step explanation:

I am considering length and width of the garden and not gate.

Length = $5\frac{2}{3}\,\,meters$

Width = $6\frac{2}{5}\,\,meters$

• Fence needed to buy

Fence needed to buy= Perimeter of garden

Finding perimeter:

$Perimeter=2(length+width)$

Putting values:

$Perimeter=2(length+width)\\Perimeter=2(\frac{17}{3}+\frac{32}{5})\\Taking\,\,LCM\,\,0f\,\,5\,\,and\,\,3\,\,i.e\,\,15\\Perimeter=2(\frac{17*5+32*3}{15})\\Perimeter=2(\frac{85+96}15})\\Perimeter=2(\frac{171}{15})\\Perimeter=\frac{342}{15}\\Perimeter= 22.8\,\,meters$

So, We need to buy 22.8 meters of fence

• Area of Garden:

The formula required to find area of garden is:

$Area=Length*Width$

$Area=\frac{17}{3}*\frac{32}{5}\\Area=\frac{544}{15}\\Area = 36.2\,\,meters^2$

So, Area of garden is 36.2 meters^2

Keywords: Area of Rectangle

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