Question

find the perimeter and area of this figure p = 16.97 units a =? units²

Explanation:

Step1: Observe the figure

The figure is a rhombus. The diagonals of the rhombus can be found by counting the grid - squares. The vertical diagonal \(d_1\) and the horizontal diagonal \(d_2\).

Step2: Determine the lengths of the diagonals

By counting the grid - squares, the vertical diagonal \(d_1 = 6\) units and the horizontal diagonal \(d_2=4\) units.

Step3: Use the area formula for a rhombus

The area formula of a rhombus is \(A=\frac{1}{2}d_1d_2\). Substitute \(d_1 = 6\) and \(d_2 = 4\) into the formula: \(A=\frac{1}{2}\times6\times4\).

$$A=\frac{1}{2}\times24 = 12$$

Answer:

12