Radha made a picture of an aeroplane with coloured paper as shown in figure. Find the total area of the paper used.
Semi-perimeter of region I (triangle) cm
Using Heron's formula, Area of region I (triangle)
Area of region II (rectangle) = base height (2)
Applying Pythagoras theorem on , we get
Semi-perimeter of region IV (
Using Heron's formula, Area of region IV (
Area of region V (triangle)=Area of region IV ( (4)
Region III is trapezium but we do not know height of this trapezium. Let's draw this trapezium separately so we can find its area.
Draw and . Doing so, we will have cm and cm.
We can use Pythagoras theorem on to find height of trpazezium PQRS.
Area of region III (trapezium)
Adding (1), (2), (3), (4) and (5), we get
Area of aeroplane picture