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The area of a rectangle is 33 square inches. The width of the rectangle is 5 inches.

What is the length of the rectangle?

Enter your answer as a mixed number in simplest form in the box.

_____ inches

Respuesta :

Answer:

[tex]6[/tex] [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

The area of a rectangle can be found by multiplying length × width.

So, if our area is 33, and our width is 5, we need to find what number multiplies by 5 to get 33.

We know that 33 ÷ 5 = our length

We can also write division as a fraction: [tex]\frac{33}{5}= our length[/tex]

(A fraction is division, but it is not actually divided yet)

To find this number in mixed form, we need to find how many complete values of 5 go into 33

We know that 5 × 6 = 30, and that 5 cannot go into 3

meaning that we can make 6 groups of 5.

We write this as:

[tex]\frac{30}{5}= 6[/tex]

[tex]+\frac{3}{5} (remaining : 33 - 30 = 3)[/tex]

So, our length is: [tex]6[/tex] [tex]\frac{3}{5}[/tex]   [written in mixed formation]

hope this helps!

6.6 inches is the correct answer