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  • 08-07-2022
  • Mathematics
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The ratio of the area of the shaded part to the unshaded part is______.

The ratio of the area of the shaded part to the unshaded part is class=

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fieryanswererft
fieryanswererft fieryanswererft
  • 08-07-2022

Answer: 1 : 3

Shaded area:

[tex]\Longrightarrow \sf Length \ \times \ Breadth = \dfrac{x}{4} \ \times \ x \ = \ \dfrac{1}{4}x^2[/tex]

Unshaded area:

[tex]\Longrightarrow \sf Length \ \times \ Breadth = (x - \dfrac{x}{4}) \ \times \ x \ = \ \dfrac{3}{4}x^2[/tex]

Ratio of shaded to unshaded:

[tex]\Longrightarrow \sf \dfrac{1}{4} x^2 \ : \ \dfrac{3}{4} x^2 = 1 : 3 \quad (simplified)[/tex]

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