Question

3. The sides of a quadrilateral, taken in order are 5, 12, 14 and 15 metres respectively,
and the angle contained by the first two sides is a right angle. Find its area.
A mark in the chane of a quadrilateral ABCD hac icon Adam 19.​

Answer 1

Answer: 114 sq. metres

Step-by-step explanation:

Quadrilateral ABCD, AB is 5m, BC is 12m, CD is 14m and AD is 15m

1. Let us assume that the angle ABC is 90°.

2. Area of triangle ABD is 0.5*(5*12) = 30. Now we have to find area of triangle BCD

3. Using Pythagoras we get BD 13m.

4. The sides of triangle BCD are 13m, 14m and 15m

5. Using Heron's formula we get area = 84.

6. Total area of ABCD is 30 + 84 = 114 sq. metres