Find the area of the figure below. Round your answer to the nearest tenth.

Captionless Image 21mm, 47mm, 15mm, 58mm

1185 mm^2
1972.5 mm^2
1657.5 mm^2
1500 mm^2

1 answer

To find the area of the figure, we need to know more information about its shape and dimensions. Since there is no image provided, I'm unable to provide an exact solution. However, I'll assume the figure is a trapezoid for the sake of this example, based on the provided dimensions.

A trapezoid has a formula for area given by:

\[ \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \]

Where \( b_1 \) and \( b_2 \) are the lengths of the two parallel sides, and \( h \) is the height. Let's assume:
- \( b_1 = 21 \) mm,
- \( b_2 = 47 \) mm,
- \( h = 15 \) mm.

Applying the formula:

\[ \text{Area} = \frac{1}{2} \times (21 + 47) \times 15 \]
\[ \text{Area} = \frac{1}{2} \times 68 \times 15 \]
\[ \text{Area} = 34 \times 15 \]
\[ \text{Area} = 510 \, \text{mm}^2 \]

Since this value does not match any of the given choices, let's consider the figure might be divided into simpler shapes. For instance, assume it's a rectangle and a triangle. Without a visual aid, we can only speculate, but let's try to re-validate our approach or another possible configuration if more data allows.

Given the choices:
- 1185 mm²
- 1972.5 mm²
- 1657.5 mm²
- 1500 mm²

We'll re-examine calculations or data again, but redoing basic assumptions doesn't lead us properly without exact visual guidance. If you manage to confirm it's correct for combined computations we need actual figure.

However if we assume exact data fits closest, likely any broader specific form for given resultant area.