Questions: Determine (a) the area and (b) the perimeter of the quadrilateral. Note that the figure is not drawn to scale. a. The area of the quadrilateral is b. The perimeter of the quadrilateral is

Determine (a) the area and (b) the perimeter of the quadrilateral. Note that the figure is not drawn to scale. a. The area of the quadrilateral is b. The perimeter of the quadrilateral is

Solution

Solution Steps

Step 1: Identify the Shape and Given Dimensions

The given quadrilateral is a parallelogram with a base of 14 inches, a height of 5 inches, and side lengths of 9 inches.

Step 2: Calculate the Area of the Parallelogram

The area \( A \) of a parallelogram is given by the formula: \[ A = \text{base} \times \text{height} \] Substituting the given values: \[ A = 14 \, \text{in} \times 5 \, \text{in} = 70 \, \text{square inches} \]

Step 3: Calculate the Perimeter of the Parallelogram

The perimeter \( P \) of a parallelogram is given by the formula: \[ P = 2 \times (\text{base} + \text{side length}) \] Substituting the given values: \[ P = 2 \times (14 \, \text{in} + 9 \, \text{in}) = 2 \times 23 \, \text{in} = 46 \, \text{inches} \]