Question

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

Figure (I): Rectangle with length 9 cm and breadth 4 cm.
Figure (II): Square with side 6 cm.
Figure (III): Right-angled triangle with perpendicular sides 9 cm and 8 cm.

Statements:

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:

Accepted Answer

C. Area of (I) = $9 	imes 4 = 36	ext{ cm}^2$. Area of (II) = $6^2 = 36	ext{ cm}^2$. Area of (III) = $\frac{1}{2} 	imes 9 	imes 8 = 36	ext{ cm}^2$. Thus, all three areas are equal (Statement B is correct). Perimeter of (I) = $2(9+4) = 26	ext{ cm}$. Perimeter of (II) = $4 	imes 6 = 24	ext{ cm}$. Perimeter of (III) = $9 + 8 + \sqrt{81+64} = 17 + \sqrt{145} \approx 29.04	ext{ cm}$. So statement D is false and C is false. Hence, B only is correct.

Comparison of Area and Perimeter

Explanation

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