The area of the composite figure is 70 sq.cm, the correct option is A.
The area of the Rectangle is equal to Length * Width.
The composite figure consists of two figures,
A trapezoid having base lengths of 12 centimetres and 13 centimetres.
The other sides have lengths of 5 centimetres and 10 centimetres.
and a rectangle with side lengths of 2 centimetres and 5 centimetres
The Area of the composite figure = Area of the Trapezoid + Area of Rectangle
Area of a Trapezoid = (1/2) * ( Base 1+ Base2 ) * height
Height of the Trapezium ( By Pythagoras theorem)
=[tex]\rm \sqrt {5^2 -1^2}[/tex]
=4.9
Area of Trapezoid = (1/2) *(13+12) *4.9
Area of Trapezoid = 61.25 sq.cm
Area of Rectangle = 5 *2 = 10 sq.cm
Total Area = 61.25 +10 = 71.25 sq.cm
Total Area ≈ 70 sq.cm
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