Question

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

Explanation:

Step1: Calculate the length of the sides

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

Step2: Calculate the perimeter

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

Step3: Calculate the area

The formula for the area \(A\) of a rectangle is \(A=w\times h\). Substitute \(w = 5\) and \(h = 6\) into the formula: \(A=5\times6=30\) units².

Answer:

\(P = 22\) units, \(A=30\) units²