Question

Rahul walked from A to B as shown in the figure, where diameter of the semicircle is 7m.Sunita walked the same distance by walking round a square park. Find the side of thesquare.

Answer 1

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Answer 2

Answer: The side of the square would be 4.5 m.

Step-by-step explanation:

Since we have given that

Diameter of semi circle = 7 m

So, radius of semi circle = 3.5 m

So, Perimeter of semi circle would be

$\pi r+d\\\\=\dfrac{22}{7}\times \dfrac{7}{2}+7\\\\=11+7\\\\=18\ m$

According to question, Sunita walked the same distance by walking round a square park.

So, Perimeter of semi circle = Perimeter of square

$18=4\times side\\\\\dfrac{18}{4}=Side\\\\Side=4.5\ m$

Hence, the side of the square would be 4.5 m.