Question

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

Explanation:

Step1: Determine the side lengths

From the grid, the horizontal side length (length) is \(7 - 2=5\) units (using \(x\) - coordinates of the endpoints of the horizontal side). The vertical side length (width) is \(7 - 1 = 6\) units (using \(y\) - coordinates of the endpoints of the vertical side).

Step2: Calculate the perimeter

The formula for the perimeter of a rectangle is \(P = 2(l + w)\). Substituting \(l = 5\) and \(w=6\), we get \(P=2(5 + 6)=2\times11 = 22\) units.

Step3: Calculate the area

The formula for the area of a rectangle is \(A=l\times w\). Substituting \(l = 5\) and \(w = 6\), we get \(A=5\times6=30\) square units.

Answer:

\(P = 22\) units, \(A = 30\) units²