Question

Find the perimeter / image is included

Answer 1

33.85 cm approx.

Explanation:

Here given, for the rectangle downwards,

The two angles are 90°.

Similarly, 90° + < c =180° (co. int. angle theorem)

<c = 180°-90° = 90°

Similarly with <d = 90°

So we can conclude the figure just below the semi circle is rectangle.

Given,

• length = 8 cm
• width = 5 cm

We know ,

• Perimeter(Rect) = 2( l+w)
• Perimeter = 2(8+5)
• P1 = 2(13) = 26 cm

For the upward semi circle,we know:

Perimeter = π*radius

Since in a rectangle, the opposite sides are equal, so,from the question:

Diameter of semicircle: 5 cm

Hence radius = d/2 = 5/2 cm

• P2 = 22/7 * 5/2
• P2 = 55/7

Total perimeter of the figure = P1 +P2

• P(Total) = 55/7 + 26 cm = (55 +182)/7 = 237/7 = 33.85 cm(approx)