Question

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

Answer 1

here is your answer hope it helpsss

Answer 2

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