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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)
Step1: Determine side - length of square
The distance between points $W(3, - 2)$ and $D(7,-2)$ is calculated using the distance formula for points with the same $y$ - coordinate, which is $d=\vert x_2 - x_1\vert$. Here, $x_1 = 3$, $x_2=7$, so the side - length $s=\vert7 - 3\vert=4$.
Step2: Calculate area of square
The area formula for a square is $A = s^2$. Substituting $s = 4$ into the formula, we get $A=4^2 = 16$.
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