Mathematics · Oct / Nov 2025 · Paper 42 · Question 7
0580
As printed in the paper
The question as text
The diagram shows a parallelogram. NOT TO SCALE x m 6.51 m The parallelogram has the same perimeter as a circle with radius 4 m.
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7(a)[4]
2 × π × 4 = 6.51 × 2 + 2x or better 6.055 to 6.058 [= 6.06] [6]
M3 M1 for 2 × π × 4 oe
M1 for 6.51 × 2 + 2x soi A1
7(b)[4]
574 or 575 or 574.1 to 574.5… [4]
M2 for 6.51 × 6.06 × cos 36 oe
or M1 for [height = ] 6.06 × cos 36 oe seen
M1 for their area × 18 leading to answer Alternative method:
M2 for 2 × 1 2 × 6.51 × 6.06 × sin(90 + 36) oe
or M1 for 1 2 × 6.51 × 6.06 × sin(90 + 36) oe seen
M1 for their area × 18 leading to answer
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