A of 3 please solve and take 20 points
Answers
Here in this question we have given a figure and we have to find area of the figure. We can notice that the given figure is made up of 2 trapeziums with identical sides and altitudes. So we can find the area of figure by adding area of both trapeziums.
So let's start!
~Area of trapezium FCDE
⇝ Area of trapezium=½×(Sum of || Sides)×height
⇝ Area of trapezium=½×(15cm+20cm)×10cm
⇝ Area of trapezium=½×25cm×10cm
⇝ Area of trapezium=25cm×5cm
⇝ Ar.of trapezium FCDE=125cm²
Ar.of trapezium FCDE=125cm²
~Area of trapezium ABCF
⇝ Area of trapezium=½×(Sum of || Sides)×height
⇝Area of trapezium=½×(25cm)×12cm
⇝ Area of trapezium=25cm×6cm
⇝ Area of trapezium=25cm×6cm
⇝ Area of trapezium=150cm²
Ar.of trapezium ABCF=150cm²
~Area of figure ABCDEG
⇝ Ar.ABCDEF=Ar.FCDE + Ar.ABCF
⇝ Ar.ABCDEF=125cm² + 150cm²
⇝ Ar.ABCDEF=275cm²
Hence the required area of figure is 275cm².
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