A rectangle has a length of 16 inches and a width of 6 inches. A similar rectangle has a length of 24 inches. What is the width of the similar rectangle?

9 inches

Step-by-step explanation:

Given

Let;

So:

Required

Determine

To do this, we make use of the following equivalent ratios

This gives

Express as fraction

Multiply by 24

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

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