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Question
The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. The area of the rectangle is:
Options
28 cm2
24 cm2
16 cm2
12 cm2
MCQ
Solution
12 cm2
Explanation:
Let the breadth be x cm.
∴ Length = (x + 1) cm
We know, Perimeter = 2(l + b)
∴ 14 = 2(x + x + 1)
⇒ 14 = 2(2x + 1)
⇒ 14 = 4x + 2
⇒ 4x = 12
⇒ x = 3
∴ Breadth = 3 cm
Length = (3 + 1) = 4 cm
We know, Area = l x b
∴ Area = (4 × 3) cm2 = 12 cm2
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Data Interpretation (Entrance Exam)
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