Question

The perimeter of a square is 56 cm. What is the approximate length of its diagonal ? 10.6 cm 14.0 cm15.0 cm18.8 cm

Answer 1

We are given the perimeter of a square. Since a square has all of the sides of the same length the perimeter is, therefore:

`P=4l`

Where "l" is the length of the side. Solving for "l" by dividing both sides by 4:

`(P)/(4)=l`

Replacing the value of "P":

`(56)/(4)=l`

Solving the operations:

`l=14`

The length of the diagonal of a square is given by:

`d=l\sqrt[]{2}`

Replacing the value of the length we get:

`d=14\sqrt[]{2}`

Solving the operation:

`d=19.8`

Therefore, the length of the diagonal is 19.8 cm.