Question

find the area of a quadrilateral one of whose diagonals is 48cm and the length of perpendiculars from the other two vertices are 15cm and 8cm respectively​

Answer 1

Answer:

If the length of diagonal and the length of the perpendiculars from the vertices are given, then area of quadilateral can be calculated. Formula for Area of quadrilateral = 1/2 × length of one diagonal × sum of the lengths of the perpendiculars that are drawn from it on the other vertices.

Answer 2

Given - Length of diagonal and perpendicular

Find - Area of quadrilateral

Solution - Area of quadrilateral is 552 cm².

Area of quadrilateral = 1/2*length of diagonal*sum of the length of the perpendiculars.

Area = 1/2*48*(15+8)

Performing multiplication and addition

Area = 24*23

Area = 552 cm²

So, area of quadrilateral is 552 cm².