find area of given figure
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correct ans according to book is
513unit^2
Answers
Answer:
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Answer:
Given Question:-
Find the area of the given figure ?
Solution:-
The given figure consists of three diagrams ,
They are rectangle, Parallelogram
and Trapezium
Area of the given figure =
Area of rectangle + Area of
Parallelogram + Area of Trapezium
I)Area of rectangle:-
Length of the rectangle = 18 units
Breadth of the rectangle = 6 units
Area of a rectangle = length × breadth sq.units
=>Area of rectangle
=>18×6
=>108 sq.units
Area of rectangle = 108 sq.units--------(1)
ii)Area of Parallelogram:-
Base of the paralellogram = 18 units
Height of the paralellogram = 9 units
Area of a Parallelogram = base×height sq.units
=>Area of Parallelogram
=>18×9
=>162 sq.units
Area of Parallelogram = 162 sq.units ----(2)
iii)Area of Trapezium:-
Two parallel sides of the Trapezium are
= 18 units
36 units
Distance between them = 9 units
Area of a Trapezium = (1/2) (Distance between
the two Parallel sides)×(Sum of two parallel sides) sq.units
=>Area of Trapezium
=>(1/2)×9×(36+18)sq.units
=>(9×54)/2
=>9×27 sq.units
=>243 sq.units
Area of Trapezium = 162 sq.units------(3)
Area of rectangle + Area of
Parallelogram + Area of Trapezium
On adding (1)&(2)&(3)
=>108+162+243 sq.units
=>513 sq.units
Area of the given figure = 513 sq.units
Answer:-
Area of the given figure is 513 units^2
Used formulae:-
Area of a rectangle = length × breadth sq.units
Area of a Parallelogram = base×height sq.units
Area of a Trapezium = (1/2) (Distance between the two Parallel sides)×(Sum of two parallel sides) sq.units