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(a) $3.5cm$

(b) $5.5cm$

(c) $7.5cm$

(d) $12.5cm$

Answer

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As We learn that Perimeter of the circle is $2\pi r$.

But in this question we have to find the perimeter of a quadrant of circle means that one-fourth of the perimeter of circle

Here we see that the blue colored part is the quadrant of the circle .

Perimeter of quadrant of circle is $\dfrac{{2\pi r}}{4}$

where we take $\pi = \dfrac{{22}}{7}$ and Radius of circle is given $r = \dfrac{7}{2}$ ;

By putting these value ,

= $\dfrac{{2 \times \dfrac{{22}}{7} \times \dfrac{7}{2}}}{4}$

When we solve we get

= $\dfrac{{22}}{4}$$cm$

In decimal form

= $5.5cm$

Perimeter of Square is $4 \times a$ and Area of Square is ${a^2}$ where a is the side of the square.

Perimeter of rectangle is $2\left( {l + b} \right)$ and Area of rectangle is $l \times b$ where $l = $ Length of Rectangle and $b = $ breadth of Rectangle.