Question

9. Which equation can be used to determine A, the area of the unshaded part of the figure?

Answer 1

The area of the unshaded region is C. $A=\frac{1}{2}(6 \times 8)-\frac{1}{2}(3 \times 4)$

Step-by-step explanation:

Step 1:

To calculate the area of the unshaded region we first divide it into shapes that we know.

In this case, the entire shape consists of a larger triangle and a smaller triangle.

If we can calculate the individual areas of the two shapes we should be able to calculate the area of the unshaded part.

Step 2:

The area of a triangle is half the product of its base length and its height.

For the larger triangle, the base length is 6 inches and the height is 8 inches.

The area of the larger triangle, $A=\frac{1}{2}(6 \times 8)$

For the smaller triangle, the base length is 3 inches and the height is 4 inches.

The area of the smaller triangle, $A=\frac{1}{2}(3 \times 4)$

Step 3:

Now we calculate the area of the unshaded region by subtracting the areas of the smaller triangle from the area of the larger triangle.

Area of the unshaded region, $A=\frac{1}{2}(6 \times 8)-\frac{1}{2}(3 \times 4)$

This is option C.