The measure of side KL is 65.4 to the nearest tenth.
What is common ratio?
There will be a common ratio r between the two forms, such that a = b x r if the side on one shape is a and the side on the other shape is b. Therefore, to establish a similar ratio, just divide the length of one comparable side by the other: r = a / b.
We have the quadrilaterals, GHIJ is similar to KLMN.
That means, the common ratio is constant.
To find the common ratio:
There will be a common ratio r between the two forms, such that a = b x r if the side on one shape is a and the side on the other shape is b. Therefore, to establish a similar ratio, just divide the length of one comparable side by the other: r = a / b.
Side of GHIJ / Side of KLMN = k (let),
here we choose similar sides.
Substituting the value of sides to the formula,
48 / 11 = k
k = 4.363636
So, the length of KL = k x similar side of GHIJ
The length of KL = 4.363636 x 15
The length of KL = 65.4
Therefore, side KL = 65.4.
To learn more about the common ratio;
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