Mirela has a rectangular piece of paper with an area of 0.35 m2. She cuts the paper into small rectangles with areas of 700 cm2. What is the maximum number of rectangles she can cut?

The maximum number of rectangles that Mirela can cut is 5

Step-by-step explanation:

First, you must ensure that all the measurements are the same units.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

where a, b and c are known values and x the value to calculate. So:

The direct rule of three is the rule applied in this case where there is a change of units.

To perform this conversion of units, you must first know that 1 m² = 10,000 cm². So, if 10,000 cm² is 1 m², how many cm² equals 0.35 m²?

cm²= 3500

Now, to calculate the maximum number of rectangles that Mirela can cut you divide the total area of the paper by the area of each rectangle:

3500 cm² ÷ 700 cm²= 5

The maximum number of rectangles that Mirela can cut is 5