10 (a) NOT TO SCALE (x+1)cm (2x+3)cm This rectangle has area 190 cm2. (i) By forming and solving an equation, show that x = 8.5 . [4] (ii) Work out the perimeter of the rectangle. ............................................ cm [2] (cid:300)(cid:213)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:183)(cid:258)(cid:215) © UCLES 2024 (cid:300)(cid:228)(cid:188)(cid:243)(cid:207)(cid:299)(cid:282)(cid:254)(cid:212)(cid:244)(cid:266)(cid:225)(cid:259)(cid:193)(cid:259)(cid:228)(cid:287)(cid:258) 0580/41/O/N/24 (cid:293)(cid:261)(cid:229)(cid:277)(cid:181)(cid:213)(cid:261)(cid:181)(cid:229)(cid:229)(cid:261)(cid:197)(cid:261)(cid:181)(cid:229)(cid:181)(cid:213)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000019 * 19 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44) (b) A r cm NOT TO SCALE 50° O B The diagram shows a sector OAB of a circle, with centre O, and a chord AB. The shaded segment has area 30 cm2. (i) Show that r = 23.7 cm, correct to 1 decimal place. [4] (ii) Calculate the perimeter of the shaded segment. ............................................ cm [4] (cid:300)(cid:215)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:183)(cid:258)(cid:215) © UCLES 2024 (cid:300)(cid:228)(cid:187)(cid:244)(cid:215)(cid:285)(cid:278)(cid:238)(cid:229)(cid:262)(cid:247)(cid:296)(cid:215)(cid:185)(cid:215)(cid:228)(cid:271)(cid:258) 0580/41/O/N/24 (cid:293)(cid:261)(cid:213)(cid:213)(cid:245)(cid:181)(cid:293)(cid:213)(cid:181)(cid:213)(cid:213)(cid:197)(cid:261)(cid:213)(cid:197)(cid:245)(cid:197)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000020 * 20 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44) BLANK PAGE Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. (cid:300)(cid:213)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:183)(cid:260)(cid:215) © UCLES 2024 (cid:300)(cid:228)(cid:187)(cid:241)(cid:215)(cid:295)(cid:296)(cid:251)(cid:210)(cid:268)(cid:240)(cid:287)(cid:245)(cid:277)(cid:245)(cid:180)(cid:295)(cid:258) 0580/41/O/N/24 (cid:293)(cid:181)(cid:261)(cid:213)(cid:181)(cid:181)(cid:293)(cid:245)(cid:213)(cid:245)(cid:229)(cid:197)(cid:197)(cid:213)(cid:293)(cid:245)(cid:213)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD