6 a Copy the coordinate grid on centimetre squared paper. b Plot these points on your grid. A(2, 2) B(3, 6) C(5, 4) D(6, 1) c Join the points in order, with straight lines. Join the last point to the first point. What shape have you drawn? d Use a ruler to measure the perimeter of the shape. y 6 5 4 3 2 1 7 Problem-solving The diagram shows four regular polygons. 6 cm 0 1 2 3 4 5 6 x 6 cm 4 cm The sum of the perimeters of the triangle and hexagon is equal to the sum of the perimeters of the pentagon and square. Work out the side length of the square. 8 Problem-solving Each letter of this word is made using rectangles. 15 mm 15 mm 15 mm 5 mm Work out the height of the letters first. Split each letter into rectangles using dotted lines. 5 mm 20 mm 5 mm 5 mm Q8 hint 5 mm 5 mm The rectangles have the same width. The letters have the same height. Work out the perimeter of each letter. 9 A rectangular parking space has a width of 2.4 m and a perimeter of 14.4 m. What is the length of the parking space? 10 Problem-solving The diagram shows a rectangular window frame. The width of the window frame is 40 cm. The perimeter of the window frame is 320 cm. a Work out the sum of the two widths. b Work out the sum of the two heights. c Work out the height of the window frame. 40 cm Q9 Strategy hint You may want to sketch a diagram to help you. Q10b hint Subtract the two widths from the perimeter. 11 Problem-solving The police enclose a square crime scene with 35 m of tape. Work out the side lengths of the crime scene. 12 Only one kind of triangle has rotational symmetry. What is its name? What is the order of rotational symmetry? 219 Topic links: Decimals, Coordinates Subject links: Science (Q16)