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The perimeter of a square is 54cm. find the length of a diagonal, rounding to the nearest tenth. ​

User Jjmontes
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1 Answer

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Given:

The perimeter of a square is 54cm.

To find:

The length of a diagonal, rounding to the nearest tenth. ​

Solution:

Let a be the length of each side of square.

We know that, perimeter of a square is


Perimeter = 4a


4a=54

Divide both sides by 4.


a=(54)/(4)


a=13.5

We know that, diagonal of a square is


d=√(2)a


d=(1.414)(13.5)


d=19.089

Rounding to the nearest tenth, we get


d\approx 19.1

Therefore, the length of diagonal is about 19.1 cm.

User Harryt
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