A picture is 60can wide and 1.8m long. The
ratio of its width to its perimeter in lowest
form is
b. 1:3
01:14
d. 1.8
1:2
Answers
(some corrections in question)
Question : A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is____?
(a) 1:3
(b) 1:4
(c) 1:8
(d) 1:2
Solution : Here we convert 60 cm into metre,
⟹ 60 cm = 60/100 = 0.6 m
Here we know,
⟹ Width of picture ( W ) = 0.6 m
⟹ Length of picture ( L ) = 1.8 m
Let, shape of picture be rectangular.
Now, we use formula of perimeter of rectangle.
⟹ Perimeter of rectangular picture = 2 * ( L + W )
⟹ Perimeter of rectangular picture = 2 * ( 1.8 + 0.6 )
⟹ Perimeter of rectangular picture = 2 * 2.4
⟹ Perimeter of rectangular picture = 4.8 m
Now, ratio of width of picture to its perimeter,
⟹ Width of picture/Perimeter of picture = 0.6/4.8
⟹ Width of picture/Perimeter of picture = 1/8
∴ Width of picture:Perimeter of picture = 1:8
Answer : The ratio of width of picture to its perimeter is 1:8 {Answer: (c) 1:8}.
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