Question

What is the area of the composite figure whose vertices have the following coordinates?

Answer 1

Answer:

60 square units

Step-by-step explanation:

We can use Pythagoras to solve this as appropriately projecting lines from any point will form a triangle. The vertical and horizontal lengths of which can be read of from the axis.

The distance between two points is  √ ( x 1 − x 2 ) 2 + ( y 1 − y 2 ) 2

Let the distance between two points be  

d i

Distance between points A and B

d 1 = √ [ 3 − ( − 3 ) ] 2 + [ 7 − 5 ] 2 d 1 = √   36 + 4 = √ 2 2 × 10 = 2 √ 10

Distance between points B and C

d2 = √ [ 6 − 3 ] 2 + [ 7 − ( − 2 ) ] 2 d 2 = √ 9+ 81 = √ 3 2 × 10 = 3 √ 10

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Area  = d 1 × d 2 = 2 √ 10 × 3 √ 10 = 60

YW :>

Answer 2

Answer:

60 square units

Step-by-step explanation: