Question

A rectangular picture is 60cm wide and 1m 80cm long. The ratio of its width to its Perimeter in lowest form is​

Answer 1

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Answer 2

Answer:

• The ratio of breadth to perimeter is 1:8.

Step-by-step explanation:

Given:

• Breadth of rectangular picture = 60 cm
• Length of rectangular picture = 1 m 80 cm = 100 + 80 cm = 180 cm

To Find:

• Ratio of its breadth to its perimeter.

So, first we will calculate perimeter of rectangular picture.

$\longrightarrow \bf Perimeter\;of\;rectangular\;picture=2(l+b)\\ \\ \longrightarrow \sf Perimeter\;of\;rectangular\;picture=2(180 + 60)\\ \\ \longrightarrow \sf Perimeter\;of\;rectangular\;picture=2\times 240\\ \\ \longrightarrow \sf Perimeter\;of\;rectangular\;picture=480\;cm$

So, Perimeter of rectangular picture = 480 cm.

Now the ratio of breadth to perimeter is,

$\longrightarrow \sf \dfrac{Breadth}{Perimeter}=\dfrac{60}{480}\\ \\ \\ \longrightarrow \sf \dfrac{Breadth}{Perimeter}=\dfrac{1}{8}$

Hence, the ratio of breadth to perimeter is 1:8.

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