Question

the diagonal of quadrilateral shape file is 24m and the perpendicular dropped on it from the remaining opposite vertices and 8m and 13 and find area of the file.​

Answer 1

A diagonal divides a quadrilateral in at least two triangles.

So , The area of quadrilateral = Area of Both the triangles

Now , Base of Both Triangles will be equal to diagonal.

Also , Height of One triangle = 8 m

Height of Another triangle= 13 m

So , Area of Quadrilateral = Area of One Triangle + Area of second triangle

Area of quadrilateral = 1/2 x 24 x 8 + 1/2 x 24 x 13

Area of quadrilateral = 96 + 156

Area of quadrilateral = 252 m²

Please FoIIow me