Question

rectangle abcd is graphed in the coordinate plane. the following are the vertices of the rectangle: a(3, -2), b(6, -2), c(6,5), and d(3,5). what is the area of rectangle abcd? square units related content area of a parallelogram on the coordinate plane

Explanation:

Step1: Find the length of the base

The base of the rectangle can be found by calculating the difference in the x - coordinates of two adjacent vertices. Using vertices A(3, - 2) and B(6, - 2), the length of the base $b$ is $|6 - 3|=3$.

Step2: Find the length of the height

The height of the rectangle can be found by calculating the difference in the y - coordinates of two adjacent vertices. Using vertices A(3, - 2) and D(3, 5), the length of the height $h$ is $|5-( - 2)| = 7$.

Step3: Calculate the area of the rectangle

The area formula of a rectangle is $A=b\times h$. Substituting $b = 3$ and $h = 7$ into the formula, we get $A=3\times7 = 21$.

Answer:

21