Ramesh wants to build a fence around the right angled triangular garden in his backyard. The perpendicular sides of the garden are measured and found to be 2 m and 1 m long. He goes to the local store to buy the fencing. What is the perimeter of the garden in meters? When he went to the store, he came to know that the store sells fencing in tenths of a meter i.e. decimetre. Thus what length of fencing should Ramesh ask for?

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5.3 m

5.8 m

5.9 m

6.3 m

answer is A.

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Detailed Solution

Concept- In order to visualize the issue, we must first determine the geometry of the area being studied (in this case, the ground) . The ground in this location is triangular in form.
Let the garden be represented by the figure in the illustration below.
Question Image

The next step is to find the details provided about the related region, such as its measurements, area, or perimeter. The lengths of the perpendicular sides (also known as the legs) are given in this instance. To answer the provided problem, we must now decide which parameter (area, perimeter, or dimensions) has to be determined.
Here, we must determine the ground's circumference.
Then, using the given formula or expression, we must search for the unknowns that must be included in the formula.
Therefore, the equation we will apply is: Triangular garden perimeter = AB + BC + AC.
Whereas the length of AC is unknown.
Next, use the provided information to try to identify the unknowns.
Here, the Pythagorean theorem may be used to determine the length of AC.

Thus,
Perimeter of triangular garden

Now, it is given that the store sells the fence in tenth of a meter. Which means the smallest unit that can be measured at the store is 0.1 meter. Thus, stores can sell fences of lengths 0.1,0.2,0.3,0.4 and so on. The
perimeter of the ground is

. But the store can sell fences of length

. Thus Ramesh should ask for the fencing of length

. in order to avoid the shortage.
Hence, the correct answer is option 1.

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