Question

math and graphing tutorial
the green (upper) triangle has an area of 6 inches². the purple (lower) triangle has an area of
place the orange triangle (square symbols) directly next to the green triangle so that the two triangles together make a rectangle. the total area of this rectangle is, which is the area of the green triangle.

Explanation:

Step1: Find base and height of purple triangle

From the graph, base of purple triangle is 4 inches and height is 3 inches.

Step2: Calculate area of purple triangle

Using formula $A=\frac{1}{2}bh$, where $b = 4$ and $h=3$. So $A=\frac{1}{2}\times4\times3=6$ square - inches.

Step3: Analyze green - orange rectangle

When orange triangle is placed next to green triangle to form a rectangle, the total area of rectangle is the sum of areas of green and orange triangles. Since they are congruent, total area of rectangle is $12$ square - inches.

Step4: Compare rectangle area to green triangle area

The area of rectangle ($12$ square - inches) is $2$ times the area of green triangle ($6$ square - inches).

Answer:

The purple (lower) triangle has an area of $6$ inches$^{2}$. The total area of this rectangle is $12$ inches$^{2}$, which is $2$ times the area of the green triangle.