Question

What is the area of the trapezoid?

A. 20 square units
B. 4√5 +4√/10 square units
C. 20√2 square units
D. 40 square units

Answer 1

20 square units

Explanation:

Area of trapezium = ½ X (sum of parallel sides) X distance between them.

length of top side = √[(-1-2)²+(3-2)²] = √10

length of bottom side = √[(-5 - 4)² + (1 - -2)²] = √90

distance between them = √[(-2 - -1)² + (0 - 3)²] = √10

area of trapezium = 1/2 X (√10 + √90) X √10

= 20 square units