Hint
Use the stated units and precision. Add all four boundary sides.
Worked solution
(a)
Add all four boundary sides.
Twice the sum of adjacent side lengths is 32 cm.
Answer: \(32\)
(b)
Use the perpendicular height in the triangle formula.
Half the base-height product is \(25\) \(\displaystyle \mathrm{cm}^{2}\).
Answer: \(25\)
(c)
Use base times perpendicular height, without the triangle half factor.
Base times perpendicular height is \(\displaystyle 50 \mathrm{cm}^{2}\).
Answer: \(50\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Add all four boundary sides.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Use the perpendicular height in the triangle formula.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Use base times perpendicular height, without the triangle half factor.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.