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math length of rectangle

a rectangle has an area of 12 m2 and a width of 400 cm . what is the length of the rectangle ?

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This problem involves two different types of measurements: meters and centimeters.
We want all the measurements in a problem to be same.

So let's first convert 400 cm to meters.

We know 100 cm = 1 meter (this should be memorized) so 400 cm must be 4 meters

This is an algebra problem so in any algebra problem you always want to write out the algebraic equation.

The algebraic equation for area of a rectangle is length times width or
A = L x W.

The problem gives us the area: A= 12 meters squared
And the width: W= 4 meters

Let's rearrange the equation to find and isolate length: L = A / W

Now we just plug in: L = 12 meters / 4 meters

12 divided by 4 = ?

Arturo O. | Experienced College Instructor for Physics TutoringExperienced College Instructor for Physi...
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A = 12 m2

W = 400 cm = 4m

A = LW ⇒ L = A/W = (12 m2) / (4m) = 3m

The length is 3m.