Question

use the table, along with dimensional analysis, to convert the given square unit to the square unit indicated. 13 in² to cm² 1 in² = 6.5 cm² 1 ft² = 0.09 m² 1 yd² = 0.8 m² 1 mi² = 2.6 km² 1 acre = 0.4 hectare (ha) cm² (round to the nearest hundredth as needed.)

Explanation:

Step1: Identify conversion factor

From the table, \(1\ \text{in}^2 = 6.5\ \text{cm}^2\).

Step2: Set up dimensional analysis

To convert \(13\ \text{in}^2\) to \(\text{cm}^2\), multiply by the conversion factor:
\(13\ \text{in}^2 \times \frac{6.5\ \text{cm}^2}{1\ \text{in}^2}\)

Step3: Calculate the result

Simplify the units (in² cancels out) and multiply: \(13 \times 6.5 = 84.5\)

Answer:

\(84.5\)