The Amazing Square

Geometry Level 1

A square has a perimeter of 16 cm, what is its area?

256 0 16 4

Ng Yan by Ng Yan , 20, Malaysia

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4 solutions

perimeter=16 divided by 4 sides then square it!

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Let the 4 sides of a square be a, b, c, d.

It is given that:

Perimeter = a + b + c + d = 16

=> a + a + a + a = 16 .........(since all the sides of a square are = )

=> 4 a = 16

=> a = 4

Area of square = a x a= 4 x 4 = 16 cm^2

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The alternative answer choices do not include 16 which is the correct answer. This should be rectified by the poster of the question.

Chellappanpillai S. Radhakrishnan - 6 years, 12 months ago

Area and perimeter are the same

Anuj Shikarkhane - 6 years, 11 months ago

Area = square(side) = square(perimeter/4) = square(16cm/4) = 16 sq.cm.

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Pankaj Nirwan
Jul 16, 2014

16cm ^2

This is because the perimeter of a square is the total length of all its sides. A square has four equal length sides which means the legth of one side is given by the formula:

L(side) = L(total)/4

so the length of each side of this square is 4cm

The area of the square is its width times its height (both 4cm in this case) so,

Area = 4x4 = 16cm^2

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