One side of a rectangle is three times as long as another. If its area is 363 square centimeters, find its dimensions. Shorter side:
Longer side:

Shorter side: 11 cm

Longer side: 33 cm

First, write down what you know:

length=3*width, this can be written as 3w

area=363 sq cm

Now we know the formula for the area of a rectangle= length * width so we can substitute what we know into the formula. It looks like this:

        363 (area) = 3w (length) × w (width)

  divide both sides by 3 to get: 121 =

   take the square root of both sides to get: w=11 (square root of 121 is 11)

Now that we know what the width is, we can substitute that and find the length: 3w = 3 × 11=33

So length (longer side) is 33cm and width (shorter side) is 11cm.

*To check this, plug the numbers into the area formula: Area=33 × 11 = 363 sq cm.