Question

The ratio of the length and width of rectangular sheet of paper is $8:5$.If the width of the sheet is $17.5$ cm.Find its length.

Answer 1

Solution:
Step 1. Calculate the length of rectangular sheet paper.
Given the ratio of length to width=$8:5$
And width of the sheet= $17.5$ cm
Let length of the sheet=$x$ cm
Then,the ratio of length to width
=$x:17.5$
According to the given the statement ,
$x:17.5$=$8:5$
$\Rightarrow x\times 5$ = $8\times 17.5$
$\because$ Product of extremes= Product of means
$\Rightarrow x=\frac{8\times 17.5}{5}=\frac{8\times 5\times 3.5}{5}$
$\therefore x=28$
Hence, the value of $x$ is $28cm$.