Question

How many m2 (meters squared) are in 15,011,646 in2 (inches squared) given that 1in = 2.54 cm (exactly) and 12 in =1ft.

Answer 1

`\boxed{\textbf{9684.9135 m}^(2)}`

Step-by-step explanation:

(a) Convert square inches to square centimetres

`\text{Area} = \text{15 011 646 in}^(2) * \left (\frac{\text{2.54 cm}}{\text{1 in}} \right)^(2) = \text{96 849 135 cm}^(2)`

(b) Convert square centimetres to square metres

`\text{Area} = \text{96 849 135 cm}^(2) * \left (\frac{\text{1 m}}{\text{100 cm}} \right)^(2) = \textbf{9684.9135 m}^(2)\\\\\text{There are }\boxed{\textbf{9684.9135 m}^(2)} \text{ in 15 011 646 in}^(2)`