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Determine the area of the given figure below.

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225

cm 2

227

cm 2

229

cm 2

231

cm 2

answer is B.

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Detailed Solution

Given, a figure whose area is to be determined.
Question Image

From the given figure we have,
Base length of the triangle is 20 cm and its altitude is 7 cm.
Next, for the semi-circle the radius is mentioned as 10 cm.
Now, the area of triangle is,

= 12 ​ ​ × ​ ​ base ​ ​ × ​ ​ height = 12 × 20 × 7 c m 2 = 70 c m 2

Next, the area of semicircle is,
Question Image

Now, the area of the complete figure is,
= Area of the triangle + Area of a semicircle

= 70 c m 2 + 157 c m 2 = 227 c m 2

So, the area of the complete figure is obtained as

227 c m 2

.
Hence, the correct option is (2).

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