Question

rectangle abcd is graphed in the coordinate plane. the following are the vertices of the rectangle: a(-4, -2), b(-2, -2), c(-2, 7), and d(-4, 7). what is the area of rectangle abcd? square units

Explanation:

Step1: Find length of AB

Points A(-4, -2) and B(-2, -2). Since y-coordinates are same, length is difference in x-coordinates: $|-2 - (-4)| = 2$.

Step2: Find length of BC

Points B(-2, -2) and C(-2, 7). Since x-coordinates are same, length is difference in y-coordinates: $|7 - (-2)| = 9$.

Step3: Calculate area

Area of rectangle = length × width = $2 × 9 = 18$.

Answer:

18