Question

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 her

Answer 1

Answer:

step 2

Step-by-step explanation:

Answer 2

Answer:

Step 2

Step-by-step explanation:

Let

$A(-1,6), B(-1,-2), C(3,6), D(3,-2)$

Plot the vertices to better understand the problem

see the attached figure

The area of the rectangle is equal to

$A=bh$

we have

$b=BD\\ h=BA$

step 1

Find the base b (BD)

$B(-1,-2),D(3,-2)$

$b=\left|3\right|+\left|-1\right|=4\ units$

step 1 is correct

step 2

Find the height h (BA)

$B(-1,-2),A(-1,6)$

$h=\left|6\right|+\left|-2\right|=8\ units$

step 2 is not correct

step 3

Find the area

$A=(4)(8)=32\ units^{2}$

Therefore

Sara first make a mistake in finding the area of the rectangle in Step 2