Find the coordinates of the vertices of the triangle and compute the area of the triangle using the distance formula. (round to the nearest integer in units2) a) 10 units2 b) 21 units2 c) 23 units2 d) 36 units2 what is the approximate distance from point d to the origin? a) 7 units b) 8 units c) 10 units d) 13 units

The correct are is 5.5 cm².

Step-by-step explanation:

First of all, Carlos calciulated the are of the rectangle correctly, only the are unit is wrong, it should be 3 cm².

He made a mistake calculating the area of a the triangle: The area of a triangle can be calculated by multiplying the base by the height by .

(Comment if you want a deeper explanation on where this comes from)

He mistakenly takes 4 cm for the height, but if you look carefully the height of the triangle in this case is 4 cm - 1.5 cm = 2.5 cm.

That gives for the area of the triangle.

Adding those two together gets you a total area of 5.5 cm².