Question

What is the area in square millimeters ?

Answer 1

Ok the first I got was (1) but, the square meter I got was 0.00064516

Answer 2

The correct option is c.

The area of the figure is
`\( 320 \)` square millimeters.

To find the area of the given figure, which is composed of a triangle and a rectangle, follow these steps:

1. Calculate the area of the rectangle: The area of a rectangle is found by multiplying the length by the width. From the figure, we see that the length is 20 mm and the width is 15 mm. So, the area
`\( A_{\text{rectangle}} \)` is:

`\[ A_{\text{rectangle}} = \text{length} * \text{width} = 20 \, \text{mm} * 15 \, \text{mm} \]`

2. Calculate the area of the triangle: The area of a triangle is found by using the formula
`\( (1)/(2) * \text{base} * \text{height} \)`. The base of the triangle is 20 mm (same as the length of the rectangle) and the height, which is the perpendicular distance from the base to the opposite vertex, is 2 mm. So, the area
`\( A_{\text{triangle}} \)` is:

`\[ A_{\text{triangle}} = (1)/(2) * \text{base} * \text{height} = (1)/(2) * 20 \, \text{mm} * 2 \, \text{mm} \]`

3. Add the areas of the rectangle and triangle to find the total area: The total area
`\( A_{\text{total}} \)` is the sum of
`\( A_{\text{rectangle}} \)` and
`\( A_{\text{triangle}} \)`.

`\[ A_{\text{total}} = A_{\text{rectangle}} + A_{\text{triangle}} \]`

Now let's calculate the areas with the given dimensions.

The area of the rectangle is
`\( 300 \)` square millimeters, and the area of the triangle is
`\( 20 \)` square millimeters. Adding these together gives us the total area of the figure:

`\[ A_{\text{total}} = A_{\text{rectangle}} + A_{\text{triangle}} = 300 \, \text{mm}^2 + 20 \, \text{mm}^2 = 320 \, \text{mm}^2 \]`

Therefore, the answer is
`\( 320 \)` square millimeters.

The options are give here:

A. 175 square millimeters.

B. 200 square millimeters.

C. 320 square millimeters.

D. 350 square millimeters.