Question

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

Explanation:

Step1: Find the side lengths

From the graph, the horizontal side length (length \(l\)): \(7 - 2=5\) units. The vertical side length (width \(w\)): \(7 - 1 = 6\) units.

Step2: Calculate the perimeter

The formula for the perimeter of a rectangle is \(P=2(l + w)\). Substitute \(l = 5\) and \(w = 6\) into the formula: \(P=2\times(5 + 6)=2\times11 = 22\) units.

Step3: Calculate the area

The formula for the area of a rectangle is \(A=l\times w\). Substitute \(l = 5\) and \(w = 6\) into the formula: \(A=5\times6=30\) square units.

Answer:

\(P = 22\) units, \(A=30\) units\(^{2}\)