Question
If the length and breadth of a rectangle are in the
ratio 7:3 and its perimeter is 40 cm, then the area of the rectangle (in cm²) is :  ÂSolution
Using the formula, Perimeter = 2(l + b) & Area = length x breadth Let the length and breadth of the rectangle be 7x and 3x cm respectively. Then, 2(7x + 3x) = 40 ⇒ 20x = 40 ⇒ x = 40/20 = 2 Therefore, length = 7x = 14 cm Breadth = 3x = 6 cm Therefore, area = lb = 14 x 6 = 84 cm²
The remainder obtained on dividing a number 'P' by 7 is 4, Find the remainder when 'P + 14' is divided by '7'.
Statements : P > Q < R = U ≤ V = S ≤ W ≥ X > I
Conclusions :
I. Q ≥ V
II. R ≤ W
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