Question

if the perimeter of a square is 68 feet. find the approximate length of its diagonal round answers to the nearest tenth

Answer 1

We are given that the perimeter of a square is 68. Since the perimeter of a figure is the sum of all of its sides then the formula for the perimeter of a square is:

`P=4l`

Where "l" is the length of its sides. We can solve for "l" by dividing both sides by 4:

`(P)/(4)=l`

Replacing the value of the perimeter:

`\begin{gathered} (68)/(4)=l \\ 17=l \end{gathered}`

Now, the length of the diagonal of a square is:

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

Replacing the value of "l":

`d=(\sqrt[]{2})(17)`

Solving the operations:

`d=24.0`

Therefore, the length of the diagonal is 24 feet.