Area, SM-Bank 076 Jeremy's back deck is square in shape and has an area of 16 square metres. What is the area of the deck in square centimetres? (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(160\ 000\ \text{square centimetres}\) Show Worked Solution \(\text{Strategy 1 (convert square metres):}\) \(\text{1 m}^{2} = 100\ \text{cm}\ \times 100\ \text{cm}\ = 10\ 000\ \text{cm}^2 \) \(\text{Side length of deck}\ =\sqrt{16} =4\ \text{m}\) \(\text{Area} =4^2 = 16\ \text{m}^{2} = 16 \times 10\ 000 = 160\ 000\ \text{cm}^{2}\) \(\text{Strategy 2 (convert side lengths):}\) \(\text{Side length of deck}\ =\sqrt{16} =4\ \text{m}= 4 \times 100 = 400\ \text{cm}\) \(\text{Area} =400^2 =160\ 000\ \text{cm}^{2}\)