Question

plot and connect the points a(-4, -4), b(-5, -4), c(-5, -3), d(-4, -3), and find the area of figure abcd.
a. 9 square units
b. 2 square units
c. 4 square units
d. 1 square unit

Explanation:

Step1: Identify the shape

The points form a rectangle. The length and width can be found by calculating the differences in coordinates.

Step2: Calculate the length

The difference in x - coordinates of two adjacent points (e.g., between A(-4,-4) and B(-5,-4)) gives the length of one - side. $| - 4-(-5)|=1$.

Step3: Calculate the width

The difference in y - coordinates of two adjacent points (e.g., between A(-4,-4) and D(-4,-3)) gives the length of the other side. $| - 4-(-3)| = 1$.

Step4: Calculate the area

The area of a rectangle is $A = l\times w$. Here, $l = 1$ and $w = 1$, so $A=1\times1 = 1$.

Answer:

D. 1 square unit