A barrier in the shape of a rectangle is used to retain oil spills. On a blueprint, a similar barrier is $9 inches$ long and $2 inches$ wide. The width of the actual barrier is $1.2 inches$ . What is the actual length of the actual barrier?

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Solution

Find the length of actual barrier.
Given, width of the actual barrier $, w_{2} = 1.2 inches$
Width of the barrier in the blueprint $, w_{1} = 2 inches$
Length of the barrier in the blueprint $, l_{1} = 9 inches$
Since, we know that when figures similar then corresponding sides ratio are equal,
$\Rightarrow \frac{l_{1}}{l_{2}} = \frac{w_{1}}{w_{2}}$
As, given length and width we have:
$\Rightarrow \frac{9}{l_{2}} = \frac{2}{1.2} \Rightarrow l_{2} = \frac{9 \times 1.2}{2} \Rightarrow l_{2} = 5.4$
Hence, the length of actual barrier is $5.4 inches$ .

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A barrier in the shape of a rectangle is used to retain oil spills. On a blueprint, a similar barrier is 9inches long and 2inches wide. The width of the actual barrier is 1.2inches. What is the actual length of the actual barrier?

A barrier in the shape of a rectangle is used to retain oil spills. On a blueprint, a similar barrier is $9 inches$ long and $2 inches$ wide. The width of the actual barrier is $1.2 inches$ . What is the actual length of the actual barrier?