Question

latonya is preparing her garden for the spring and wants to cover all of her soil with compost. latonya needs to calculate the total area of the garden in order to determine how much compost to buy. enter the unknown segment length(s), then calculate the area of the polygon. area of the square: square feet w(3, -2) d(7, -2) 4

Explanation:

Step1: Find side - length of the square

The distance between points $W(3,-2)$ and $D(7,-2)$ can be found using the distance formula for two points on a horizontal line (since the $y$ - coordinates are the same). The distance $d$ between two points $(x_1,y)$ and $(x_2,y)$ is $d=\vert x_2 - x_1\vert$. Here, $x_1 = 3$, $x_2=7$, so the side - length $s$ of the square is $s=\vert7 - 3\vert=4$.

Step2: Calculate the area of the square

The area formula for a square is $A = s^2$. Substituting $s = 4$ into the formula, we get $A=4^2 = 16$.

Answer:

16