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Maths-

General

Easy

Question

What is the area, in square units, of the figure shown?

20
22
24
28

The correct answer is: 22

Trapezium/ Trapezoid is a Quadrilateral with 1 pair of opposite sides parallel to each other. The figure in the given diagram is a Right Trapezium/ Trapezoid. A right trapezoid is a trapezoid with one of its legs perpendicular to both of the bases. i.e. it forms 2 right angles.
Step-by-step solution:-
In the given figure ABCD, Sides AB and DC (also known as bases) are parallel to each other and side AD (also known as height) is perpendicular to both the parallel sides.
∴ lengths of-
Base 1 = b1 = 7 units,
Base 2 = b2 = 4 units &
Height = h = 4 units
We know thar area of a Trapezium/ Trapezoid = $fraction numerator S u m blank o f blank t h e blank l e n g h t s blank o f blank t h e blank 2 blank b a s e s over denominator 2 end fraction blank cross times blank H e i g h t$
∴ Area of the given figure = $fraction numerator b 1 plus b 2 over denominator 2 end fraction cross times h$
$equals fraction numerator 7 blank plus blank 4 over denominator 2 end fraction cross times 4$
= $fraction numerator 11 over denominator 2 end fraction blank cross times 4$
$equals fraction numerator 44 over denominator 2 end fraction$
= 22
Final Answer:-
Option B i.e. 22 is the correct Option.

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