Question

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

Explanation:

Step1: Determine the length and width

From the graph, the length \( l = 6\) units (from \(x = 2\) to \(x=8\)), and the width \( w=6\) units (from \(y = 1\) to \(y = 7\)).

Step2: Calculate the perimeter

The formula for the perimeter of a rectangle is \(P = 2(l + w)\).
Substitute \(l = 6\) and \(w = 6\) into the formula:
\(P=2\times(6 + 6)=2\times12 = 24\)

Step3: Calculate the area

The formula for the area of a rectangle is \(A=l\times w\).
Substitute \(l = 6\) and \(w = 6\) into the formula:
\(A = 6\times6=36\)

Answer:

\(P = 24\) units, \(A=36\) units²