## Related questions with answers

A park has a playground that is $\frac{3}{4}$ of its width and $\frac{4}{5}$ of its Iength. What fraction of the park is covered by the playground? Fold a piece of paper horizontally into fourths and shade three of the fourths to represent $\frac{3}{4}.$ Fold the paper vertically into fifths and shade $\frac{4}{5}$ of the paper another color. Count the total number of squares. This number is the denominator. The numerator is the number of squares shaded with both colors. $\frac{3}{4} \times \frac{4}{5}=$ ________ = _______. So, _______ of the park is covered by the playground.

Solution

Verified$\text{Given width of the playground : }\frac{3}{4}th\text{ of width of Park}$

$\text{Given length of the playground : }\frac{4}{5}th\text{ of length of Park}$

$\textbf{Fraction of park covered by playground : }\text{Length of playground}\times{\text{Width of park}}$

$\textbf{Fraction of park covered by playground : }\frac{4}{5}\times{\frac{3}{4}}=\frac{3}{5}$

$\textbf{Hence, Playground covers the }\frac{3}{5}th\textbf{ of the total Park}$

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