Question 6

Consider the following figures (I, II and Ill) and the statements (A, B, C and D) regarding them.

image

A. The areas of three figures are different
B. The areas of three figures are equal
C. The perimeters of three figures are equal
D. Perimeters of figures (I) and (II) are equal
Choose the correct answer from the options given below :

Area of (I) = Length * Breadth = 9*4 = 36 sq cm.
Perimeter of (I) = 2*(Length + Breadth) = 2*(9+4) = 26 cm.

Area of (II) = Square of side = 6^2 = 36 sq cm.
Perimeter of (II) = 4*side = 4*6 = 24 cm.

Area of (III) = half of Perpendicular * Base = half of 9*8 = 36 sq cm.
Perimeter of (III) = sum of sides = 9 + 8 +Β $$\sqrt{\ 9^2+8^2}=17\ +\ \sqrt{\ 145}$$.

Only statement B is correct i.e.Β The areas of three figures are equal.

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