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Equal Area Shapes Comparison

CMAT 2024 · Quantitative Techniques & Data Interpretation · Easy · Geometry

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Which two figures will have same area? (A) Circle with diameter of 14 cm. (B) Rectangle with length 12 cm and breadth 10 cm. (C) Rectangle with length 14 cm and breadth 11 cm. (D) Square with side 12 cm.

Choose the correct answer from the options given below. Assume that π=227\pi = \frac{22}{7}

  1. A.

    A and B only

  2. B.

    B and D only

  3. C.

    A and C only

  4. D.

    A and D only

Answer

C

Explanation

  • Area A =πr2=227×72=154 cm2= \pi r^2 = \frac{22}{7} \times 7^2 = 154\text{ cm}^2
  • Area B =12×10=120 cm2= 12 \times 10 = 120\text{ cm}^2
  • Area C =14×11=154 cm2= 14 \times 11 = 154\text{ cm}^2
  • Area D =122=144 cm2= 12^2 = 144\text{ cm}^2

Figures A and C have the same area.

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