Find the area of the given figure.

Answers
In the attached picture
Area of rectangle = length × breadth
= ( 4 + 5 ) cm × 30 cm
= 9 cm × 30 cm
= 270 cm^2
Now, remaining area is of 2 right angled triangle, they are right angled triangle because this quadrilateral is a rectangle OR distance between lines is same at every place which indicates that they are parallel lines.
Area of 1st Δ =
=
= 5.5 x cm
Area of 2nd Δ =
= 5.5( 14 - x ) cm^2
= ( 77 - 5.5 x ) cm^2
Area of figure = area of rectangle + area of 1st Δ + area of 2nd rectangle
= 270 cm^2 + 5.5 x cm^2 + 77 cm - 5.5 cm^2
= 270 cm^2 + 77 cm^2
= 347 cm^2
Area of given quadrilateral is 347 cm^2 .
hope will be helpful u
thnx 4 asking ✌️

