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

Answer:

$\boxed{\textbf{9684.9135 m}^{2}}$

Explanation:

(a) Convert square inches to square centimetres

$\text{Area} = \text{15 011 646 in}^{2} \times \left (\dfrac{\text{2.54 cm}}{\text{1 in}} \right)^{2} = \text{96 849 135 cm}^{2}$

(b) Convert square centimetres to square metres

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