Question

A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is ______.

Options

• 1 : 2

• 1 : 3

• 1 : 4

• 1 : 8

Answer 1

A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is 1 : 8.

Explanation:

Given, Width of picture (b) = 60 cm

Length of picture (l) = 1.8 m

= (1.8 × 100) cm

= `(18/10) xx 100`

= 180 cm

Perimeter of picture = 2 × (1 + b)

= 2 × (180 + 60) cm

= (2 × 240) cm

= 480 cm

Ratio of width to its perimeter = `60/480`

= `1/8`  ...[On dividing numerator and denominator by 60]

= 1 : 8