Question

Question 3

Only one of the four options is correct. Write the correct one.

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

a) 1 : 2

b) 1 : 3

c) 1 : 4

d) 1 : 8

Answer 1

Given,
Width of picture (b) = 60cm
Length of picture (l) = 1.8m
= $(1.8\times 100)cm$ [$\because$ 1m = 100cm]
= $\frac{18}{10}\times 100=180cm$
Perimeter of picture = $2\times (l+b)=2\times (180+60)cm=(2\times 240)cm=480cm$
$\therefore$ Ratio of width to its perimeter = $\frac{60}{480}$
$=\frac{1}{8}$ [on dividing numerator and denominator by 60]
= 1 : 8
Hence, (d) is the correct option.