Rectangle with a side length of 11" and a diagonal of 14" what is the perimeter

The answer is:

The perimeter of the rectangle is equal to 39.32".

Since we are working with a rectangle, we can use the Pythagorean theorem to find the missing side of the rectangle and calculate its perimeter. We must remember that we can divide a rectangle into two equal right triangles.

According to the Pythagorean Theorem, we have:

Where:

a, represents the hypotenuse of the triangle which is equal to the diagonal of the given rectangle (14")

b and c are the other sides of the triangle.

Now, let be "a" 14" and "b" 11"

So, solving we have:

Now, that we already know the the missing side of the rectangle, we can calculate the perimeter using the following formula:

Hence, we have that the perimeter of the rectangle is equal to 39.32".

Have a nice day!

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