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Mathematics

If a sheet of paper having an area of 421442\dfrac{1}{4} cm2 is cut into 13 strips of equal area, then the area of each strip will be

  1. 4144\dfrac{1}{4}cm2

  2. 3143\dfrac{1}{4}cm2

  3. 41524\dfrac{1}{52}cm2

  4. 71137\dfrac{1}{13}cm2

Fractions

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Answer

Given:

Area of sheet = 421442\dfrac{1}{4} cm2

Number of strips = 13

Area of each strip = ?

Area of each strip = (Area of sheet) ÷ (Number of strips)

Substituting the values in above, we get:

Area of each strip = 421442\dfrac{1}{4} cm2 ÷ 13

=1694 cm2÷13=(1694×113) cm2=(134) cm2=314 cm2\begin{array}{ll} = \dfrac{169}{4} \text{ cm}^2 ÷ 13 \\ = \Big(\dfrac{169}{4} \times \dfrac{1}{13}\Big) \text{ cm}^2 \\ = \Big(\dfrac{13}{4}\Big) \text{ cm}^2 \\ = 3\dfrac{1}{4} \text{ cm}^2 \end{array}

Hence, option 2 is the correct option.

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