the given figure shows a metal plate in the form of a trepezium, find the area of plate in square cm correct upto1 decimal place.

Dear Student ,
Please find below the solution to the asked query :

Trapezium is divided in rectangle and triangle as shown in figure below .

Triangle have all the sides equal , so it is an equilateral triangle .Area of an equilateral triangle =34 side2=34×122=3×1444=363   cm2 .Area of triangle =12×base×height12×12×h=3636h=363h=63 cm .Area of trapezium =12×Sum of parallel sides×height=12×18+30×63=48×632=1443   cm2 .=144×1.732=249.4 cm2 .Area of plate is 249.4 cm2 .  
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