The length of the sides of a square measure 2x-5. The length of a rectangle measures 2x, and the width measures x + 2. For what value of x is the perimeter of the square the same as the perimeter of the rectangle?

Step-by-step explanation:

Perimeter of a square:

The perimeter of a square of side x is given by:

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

The length of the sides of a square measure 2x-5.

This means that the perimeter of the square is:

The length of a rectangle measures 2x, and the width measures x + 2.

This means that the perimeter of the rectangle is:

For what value of x is the perimeter of the square the same as the perimeter of the rectangle?

This is x for which:

So

step-by-step explanation:

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x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a