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A square is a shape with 4 equal lengthed sides. The perimeter is the sum of the lengths of the sides. Therefore for a square, the length of one side is a quarter of the perimeter.

In this example the perimeter is sqrt(120)cm, so the length of a side is [sqrt(120)]/4 cm.

The area of a square is just the length of on side squared, or multiplied with itself. So what we have is (sqrt(120)/4) ^{2 }= 120/16 = 7.5

In terms of units, the length is given in cm, and as the area is cm*cm it's unit is cm^{2}^{ }

So the answer is 7.5cm^{2}

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One to one online tution can be a great way to brush up on your Maths knowledge.

Have a Free Meeting with one of our hand picked tutors from the UK’s top universities

Find a tutor