The area of a square is equal numerically to 14 more than 5 times the length of a side. Find...

Question:

Area of a Square Geometry:

In geometrical methamatics, a square is a quadrilateral whose all four sides are equal in length provided that every angle out of four must be equal to {eq}90^{\circ} {/eq}.

The opposite sides of a square are parallel to each other so a square can also be called an equilateral parallelogram.

The diagonals of a square are congruent in length and they cut each other at the midpoint.

The Pythagorean theorem gives the length of the diagonal of a square.

$$\begin{align} d^{2} &= x^{2}+x^{2} \\[0.3cm] d^{2} &= 2x^{2} \\[0.3cm] \end{align} \\ $$

here {eq}x {/eq} is the side length of the square and {eq}d {/eq} is the diagonal length.

The area of a square is given as the square of its side length-

$$A = x^{2} $$

here {eq}A {/eq} is the area of the square

Answer and Explanation: 1