Question

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

Answer 1

Step-by-step explanation:

length= 1.8 m width = 60 cm

convert to cm

1 m = 100 cm length= 1.8x100 = 180 cm

width = 60 cm

ratio= l= 180 cm b = 60 cm

ratio = 3:1

perimeter= 2(l+b)

= 2(180+60)

= 2x240

= 480 cm^2

Answer 2

GIVEN:-

A picture is 60 cm wide and 1.8 m long.

TO FIND:-

Ratio of its width to it's perimeter.

SOLUTION:-

Length and breadth of painting

$\rm\red{Length}=1.8 metres \\ =1.8×100 \\ =180 \: centimetres$ $\rm\red{Breadth}= 60 \: centimetres$

Perimeter of painting

$\large{\underline{\boxed{\tt{\pink{2(length + bredth)}}}}}$

$= 2(180 + 60) \\ = 2(240)\\ = \rm 480 \: centimetres$

Ratio to it's width to perimeter:-

$Width = 60 \: centimetres \\ Perimeter = 480 \: centimetres \\ \\ \rm Ratio = 60:480 \\ = \large\cancel\frac{60}{480} \: \frac{1}{8} = 1:8$

Hence, the ratio of the picture to it's width to it's perimeter is 1:8