In the given figure, DC = 12 cm and EF 7cm.
Find: i) Area of rectangle ABCD
ii) Area of A EDC
iii) Area of shaded green portion
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The area of the rectangle ABCD is 12×7=84
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Answer:
(i) 84cm²
(ii) 42cm²
(iii) 42cm²
Step-by-step explanation:
(i) Area of rectangle ABCD:-
Area of rectangle = length x breadth
In this case
length: 12cm
breadth: 7cm
Thus, area = 12 x 7
=> 84cm²
(ii) Area of A EDC:-
Area of triangle = 1/2 x base x height
In this case
base: 12cm
height: 7cm
Thus, area = 1/2 x 12 x 7
=> 42cm²
(iii) Area of shaded green portion:-
It is clearly visible in this figure that
Area of shaded region + Area of triangle EDC = Area of rectangle ABCD
Thus of shaded region = Area of rectange ABCD - Area of triangle EDC
=> 84 - 42 ... [from (i) and (ii)]
=> 42cm²
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