4225 cm2or .4225 m2
[Give credit for answers a little less because of rounded corners.]
difficult
d)
Sarah is right. No additional measurements
are needed.
The dotted line is the diagonal of a square. The diamond can be broken up into 2 triangles, each with base 92 cm and height 46 cm, i.e., 2 × (92 × 46) or 4 triangles with base 46 cm and height 46 cm, i.e., 4 × 1/2 (46 × 46) or area of diamond is 1/2 area of large square, i.e., 1/2 (92 × 92) or area of 2 small
squares, i.e., 462 × 2 or arguments equivalent to these. They all give an area of 4232 cm2, virtually the same as the 4225 cm2 above.
NOTE: Students who are familiar with Pythagoras' Theorem could provide an alternative solution. Give credit where appropriate to students who observe that the result is approximate only because the corners are rounded.
difficult
very difficult
This last mark is awarded for correctly stated units in all questions answered.
moderate
NOTE: Do not deduct marks if no units are given. This is allowed for in the final mark above.
(92 × 46) or 4 triangles with base 46 cm and height 46 cm, i.e., 4 × 1/2 (46 × 46) or area of diamond is 1/2 area of large square, i.e., 1/2 (92 × 92) or area of 2 small