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Practice | SPM Mathematics

SPM 1449 Mathematics (KSSM)

Question
Bahasa Melayu
Sebuah reban haiwan berbentuk segi empat tepat dibina bersandarkan satu dinding lurus, maka hanya tiga sisi memerlukan pagar. Sejumlah 60 m pagar tersedia. Biar x ialah panjang, dalam meter, bagi setiap satu daripada dua sisi yang berserenjang dengan dinding itu. Luasnya dimodelkan oleh A = x(60 - 2x). Cari nilai x yang memberikan luas maksimum.

English
A rectangular animal pen is built against a straight wall, so only three sides need fencing. A total of 60 m of fencing is available. Let x be the length, in metres, of each of the two sides perpendicular to the wall. The area is modelled by A = x(60 - 2x). Find the value of x that gives the maximum area.
[4 marks]
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