2D Area & Perimeter: WJEC GCSE Foundation November 2018 Unit 2 Q17

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Foundation November 2018 Unit 2 Q17

WJECFoundationCurrent spec5 marks2D Area & Perimeter

17. \(ABCE\) is a square.

Calculate the area of the shape \(ABCDE\) shown below. [5]

Diagram not drawn to scale

Mark scheme

Scheme	Marks	Comments
(Area of square =) 40·96(cm²)	B1
(Perp. height of triangle =) 4·3(cm)	B1	May be seen on the diagram. Do not accept 4·3 as a ‘slant height’ unless used correctly for M1.
(Area of triangle =) \(\dfrac{6{\cdot}4 \times 4{\cdot}3}{2}\)	M1	F.T. ‘their unambiguously stated 4·3’. (Not 10·7).
= 13·76(cm²)	A1
(Area of ABCDE = 40·96 + 13·76 =) 54·72(cm²)	B1	F.T. from two derived areas. Allow 54·7 only if 54·72 seen. Otherwise penalise pre-approximation −1 once only.