Edexcel IGCSEMathematicsGeneral Applications7 Marks
The diagram shows a rectangle. The length of the rectangle is (3x+1) cm. The width of the rectangle is (x+2) cm. The perimeter of the rectangle is 46 cm.
- (a)Show that 8x + 6 = 46.[2]
- (b)Work out the value of x.[2]
- (c)Calculate the area of the rectangle.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- (a) M1 for correct expression for perimeter or sum of 4 sides (e.g., 2(3x+1) + 2(x+2) or 3x+1+x+2+3x+1+x+2)
- (a) A1 for 8x+6=46 shown
- (b) M1 for a correct operation to isolate x terms or number terms (e.g., subtracting 6 from both sides on 8x+6=46 leading to 8x=40)
- (b) A1 for 5
- (c) M1 for substituting x=5 into expressions for length and width (e.g., Length = $3(5)+1 = 16$, Width = $5+2 = 7$)
- (c) M1 for multiplying length and width (e.g., 16 × 7)
- (c) A1 for 112
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