Which statement best describes the area of Triangle ABC shown below?
A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 5, vertex B is on ordered pair 6 and 2, and the vertex C is on ordered pair 2 and 2.
(5 points)
It is twice the area of a square of side length 4 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle with sides 4 units × 3 units.
It is one-half the area of a rectangle with sides 4 units × 3 units.

  It is one-half the area of a rectangle with sides 4 units × 3 units

Step-by-step explanation:

One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.

The opposite vertex has y-value 5, so is 3 units away from the line y = 2.

The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...

  A = (1/2)bh

we find the area to be ...

  A = (1/2)×(4 units)×(3 units) . . . . triangle area

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A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...

  A = (4 units)×(3 units) . . . . rectangle area

Comparing the two area formulas, we see that the triangle area is 1/2 the area of the rectangle with sides 4 units × 3 units.

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

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