Question

The area of the quadrilateral is

1 point



10 cm²

5 cm²

20 cm²

15 cm²

​

Answer 1

Answer:

Step-by-step explanation:

Answer

Area of quadrilateral = 20 cm  

2

 

Let length of BD (diagonal) be x cm.

Then,

Area(quad.ABCD)=area△(ABD)+area△(ACD)

Area of quad ABCD =    

2

1

​  

×(BD)×(AL)+  

2

1

​  

×(BD)×(CM)

20=(  

2

1

​  

×x×1)+(  

2

1

​  

×x×1.5)

2.5x=40

x=  

25

400

​  

 

x=16 cm

Answer 2

Answer:

Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.