Figure A is a square formed using 2 identical tiles. Figure B is a rectangle formed by rearranging the tiles. The area of Figure A is 81 m². Figure C shows a rectangular path formed by using the tile pattern of Figure B. The path is continuous and completely covered. It has an area of 2106 m². What is the length of Figure B? (1 mark)
Answer: 13.5 m
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figure A is a square, which means they have equal sides
area of square = side x side
area of square = 81 m²
what same number multiple by itself gives 81?
9 x 9 = 81
side of square = 9m
since the tiles small side creates 2u
2u = 9m 1u = 9 ÷ 2 = 4.5m 3u = 9 + 4.5 = 13.5m