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 length \( l = 8 - 1=7\) units and the width \( w=6 - 4 = 2\) units.

Step2: Calculate the perimeter

The formula for the perimeter of a rectangle is \(P = 2(l + w)\).
Substitute \(l = 7\) and \(w = 2\) into the formula:
\(P=2\times(7 + 2)=2\times9 = 18\) units.

Step3: Calculate the area

The formula for the area of a rectangle is \(A=l\times w\).
Substitute \(l = 7\) and \(w = 2\) into the formula:
\(A = 7\times2=14\) square units.

Answer:

\(P = 18\) units, \(A = 14\) units\(^{2}\)