A student has to form distinct rectangles by using coloured ribbon and paste it on a sheet. If she uses 20centimetres of ribbon for each rectangle, how many distinct rectangles she can form of dimensions of positive integers?
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Answer:
(i) Perimeter of a rectangle = 2×(Length + Breadth)
∵ Length = 7 cm, Breadth = 5 cm
∴ Perimeter = 2 ×(7 + 5) = 2 × (12) = 24 cm
(ii) Perimeter of a rectangle = 2 × (Length + Breadth)
∵ Length = 5 cm, Breadth = 4 cm
∴ Perimeter = 2 × (5 + 4) = 2 × (9) = 18 cm
(iii) Perimeter of a rectangle = 2 × (Length + Breadth)
∵ Length = 7.5 cm, Breadth = 4.5 cm
∴ Perimeter = 2 × (7.5 + 4.5) = 2 × (12) = 24