Question

plot and connect the points a(-4, -1), b(6, -1), c(6, 4), d(-4, 4), and find the area of the rectangle it forms.
a. 45 square units
b. 40 square units
c. 36 square units
d. 50 square units

Explanation:

Step1: Find the length of the base

The base of the rectangle is the horizontal distance between two points. Using the x - coordinates of points A(-4, -1) and B(6, -1), the length of the base $b$ is calculated as $b=\vert6 - (-4)\vert=\vert6 + 4\vert = 10$.

Step2: Find the length of the height

The height of the rectangle is the vertical distance between two points. Using the y - coordinates of points B(6, -1) and C(6, 4), the length of the height $h$ is calculated as $h=\vert4-(-1)\vert=\vert4 + 1\vert=5$.

Step3: Calculate the area of the rectangle

The area formula of a rectangle is $A = b\times h$. Substitute $b = 10$ and $h = 5$ into the formula, we get $A=10\times5 = 50$.

Answer:

D. 50 square units