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Mathematics

Grade9

Easy

Question

Find the area of the shaded region (in square inches).

119
156
189
145

hint Hint:

area of semi circle = $πr squared over 2$

The correct answer is: 119

Trapezium: b1 = 20 , b2 = 16, h = 8
area of trapezium = $fraction numerator left parenthesis s u m space o f space p a r e l l e l space s i d e space right parenthesis cross times h e i g h t over denominator 2 end fraction$
Area of trapezium = $fraction numerator 1 over denominator 2 end fraction$ × (20+16)× 8 = 144 square in
r = 4
Area of semi- circle = ( $fraction numerator 180 over denominator 360 end fraction$ ) × $pi$ × 4 × 4 = 25.13
Area of shaded region = Area of trapezium – Area of semi-circle
= 144- 25 = 119
so option 1 is the correct answer

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