if A(-5,7),B(-4,-5),(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD
Answers
Answered by
8
here is your answer hope it helpsss
Attachments:
Answered by
0
Answer:
Area of the quadrilateral ABCD = 52 sq unit
Step-by-step explanation:
To find out the area of the quadrilateral,
Draw diagonal BD to form two triangle ABD and BCD
Area of ABD = 1/2 (x1(y2-y3) + x2 (y3-y1) + x3 (y1-y3)
= 1/2( -5(-5-5) -4(5-7) + 4(7-5)
= 1/2 (50+8+8)
= 1/2 (66)
= 33 sq unit
Area of BCD = 1/2(-4(-6-5) -1(5+5)+4(-5+6)
= 1/2 (44+-10+4)
= 1/2 (38)
= 19 sq unit
Area of the quadrilateral ABCD = (33+19) Square Unit
= 52 sq unit
Similar questions