Question

The ratio of the area of the shaded part to the unshaded part is______.

Answer 1

Answer: 1 : 3

Shaded area:

$\Longrightarrow \sf Length \ \times \ Breadth = \dfrac{x}{4} \ \times \ x \ = \ \dfrac{1}{4}x^2$

Unshaded area:

$\Longrightarrow \sf Length \ \times \ Breadth = (x - \dfrac{x}{4}) \ \times \ x \ = \ \dfrac{3}{4}x^2$

Ratio of shaded to unshaded:

$\Longrightarrow \sf \dfrac{1}{4} x^2 \ : \ \dfrac{3}{4} x^2 = 1 : 3 \quad (simplified)$