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 \ * \ Breadth = (x)/(4) \ * \ x \ = \ (1)/(4)x^2`

Unshaded area:

`\Longrightarrow \sf Length \ * \ Breadth = (x - (x)/(4)) \ * \ x \ = \ (3)/(4)x^2`

Ratio of shaded to unshaded:

`\Longrightarrow \sf (1)/(4) x^2 \ : \ (3)/(4) x^2 = 1 : 3 \quad (simplified)`