Arectangle with a length of l and a width of w has a diagonal of 10 inches. express the perimeter p of the rectangle as a function of l.

The expression which represents the perimeter P of the rectangle as a function of L is:

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

Now, we know that the Perimeter of a rectangle is given by:

Here we have:

the 3rd option is right

step-by-step explanation:

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