Question

this question has two parts. first, answer part a. then, answer part b. part a the coordinate grid shows an equilateral triangle that fits inside a square. a. find the area of the square. show your work. s = , so a = ² = units²

Explanation:

Step1: Find side - length of square

Use the distance formula for two points on the same horizontal line. For points $A(-2,3)$ and $B(2,3)$, the distance $s$ between them (which is the side - length of the square) is calculated as $s=\vert x_2 - x_1\vert$. Here, $x_1=-2$ and $x_2 = 2$, so $s=\vert2-(-2)\vert=4$.

Step2: Calculate area of square

The area formula of a square is $A = s^2$. Since $s = 4$, then $A=4^2 = 16$.

Answer:

$s = 4$, so $A=4^2=16$ units$^2$