Question

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what is the area of the rectangle shown on the coordinate plane?
enter your answer in the box. do not round at any steps.
□ units²

Explanation:

Step1: Identify rectangle vertices

Vertices: (2,-1), (6,2), (12,-5), (8,-8)

Step2: Calculate length of one side

Distance between (2,-1) & (6,2): $\sqrt{(6-2)^2+(2-(-1))^2}=\sqrt{16+9}=5$

Step3: Calculate length of adjacent side

Distance between (6,2) & (12,-5): $\sqrt{(12-6)^2+(-5-2)^2}=\sqrt{36+49}=11$

Step4: Compute area (length×width)

$5×11=55$

Answer:

55