Q:

A rectangle has vertices at (-1,6), (-1,-2), (3,6), and (3,-2). Sara says the area of the rectangle is 16 square units and herwork is shown belowStepsStep 1Step 2Step 3Sara's WorkBase: 113-4Height: 161+F2-4Area: 4x4-16 square unitsWhere, if at all, did Sara first make a mistake in finding the area of the rectangle?Step 1Step 2Step 3no mistake

Accepted Solution

A:
Answer:Step 2Step-by-step explanation:Let[tex]A(-1,6), B(-1,-2), C(3,6), D(3,-2)[/tex]Plot the vertices to better understand the problemsee the attached figureThe area of the rectangle is equal to[tex]A=bh[/tex]we have[tex]b=BD\\ h=BA[/tex]step 1Find the base b (BD)[tex] B(-1,-2),D(3,-2)[/tex][tex]b=\left|3\right|+\left|-1\right|=4\ units[/tex] step 1 is correctstep 2Find the height h (BA)[tex]B(-1,-2),A(-1,6)[/tex][tex]h=\left|6\right|+\left|-2\right|=8\ units[/tex] step 2 is not correctstep 3Find the area[tex]A=(4)(8)=32\ units^{2}[/tex]ThereforeSara first make a mistake in finding the area of the rectangle in Step 2