Question

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

Explanation:

Step1: Identify the formula for area of parallelogram

The area formula for a parallelogram is $A = base\times height$. Here the base is 12 inches and the height is 4 inches.

Step2: Calculate the area

$A=12\times4 = 48$ square - inches.

Step3: Identify the formula for perimeter of parallelogram

The perimeter formula for a parallelogram is $P = 2(a + b)$, where $a$ and $b$ are the side - lengths. Here $a = 12$ inches and $b = 6$ inches.

Step4: Calculate the perimeter

$P=2(12 + 6)=2\times18 = 36$ inches.

Answer:

a. 48 square inches
b. 36 inches