Plz help! A students rectangular desk is 30 inches long and 18 inches wide. The teachers desk is similar to the student's desk and has a length of 50 inches. What is the width of the teacher's desk?

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josefuentesomana josefuentesomana · Answer 1 · 2019-10-04T16:24:41+02:00

Answer:

The width of the teacher's desk is 30 inches.

Step-by-step explanation:

Since both desks are similar, we can assume that those desks are similar rectangles.

Now, let's calculate the scaling factor (how many time bigger is the second one compared with the first one):

[tex]scaling =\frac{50}{30} =\frac{5}{3}\\[/tex]

Then we multiply the scaling factor by the student's desk width to obtain teacher's desk width:

[tex]width=\frac{5}{3}*18=30[/tex]

The width of teacher's desk is 30 inches.

PiaDeveau PiaDeveau · Answer 2 · 2021-10-05T12:05:24+02:00

Width of the teacher's desk is 30 inches.

Given that;

Dimension of students rectangular desk = 30 by 18 inches

Length of teacher rectangular desk = 50 inches

Find:

Width of the teacher's desk

Computation:

Given that both rectangle are similar

So,

Width of the teacher's desk = [50 / 30]18

Width of the teacher's desk = [5 / 3]18

Width of the teacher's desk = [5]6

Width of the teacher's desk = 30 inches

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