Question

find the perimeter and area of this figure.
p = 20 units
a =? units²

Explanation:

Step1: Divide the figure into two triangles

The figure can be divided into two congruent triangles.

Step2: Calculate the base and height of one triangle

By counting the grid units, assume the base \(b = 8\) units and height \(h = 3\) units for one triangle.

Step3: Calculate the area of one triangle

The area formula for a triangle is \(A_{\text{triangle}}=\frac{1}{2}bh\). Substituting \(b = 8\) and \(h = 3\), we get \(A_{\text{triangle}}=\frac{1}{2}\times8\times3= 12\) units².

Step4: Calculate the area of the whole figure

Since the figure is composed of two such triangles, \(A = 2\times A_{\text{triangle}}\). So \(A=2\times12 = 24\) units².

Answer:

\(24\) units²