Question

find the perimeter and area of this figure.
p = ? units
a = units²

Explanation:

Step1: Determine the length and width of the rectangle

From the graph, the horizontal distance (width) between the points is \( 7 - 5 = 2 \) units, and the vertical distance (length) is \( 9 - 1 = 8 \) units.

Step2: Calculate the perimeter of the rectangle

The formula for the perimeter \( P \) of a rectangle is \( P = 2\times (length + width) \). Substituting the values, we get \( P = 2\times(8 + 2) = 2\times10 = 20 \) units.

Step3: Calculate the area of the rectangle

The formula for the area \( A \) of a rectangle is \( A = length\times width \). Substituting the values, we get \( A = 8\times2 = 16 \) square units.

Answer:

Perimeter \( P = 20 \) units, Area \( A = 16 \) units²