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: Recall area formula for parallelogram

The area formula for a parallelogram is $A = base\times height$. Here, the base is 19 in and the height is 4 in.
$A=19\times4$

Step2: Calculate the area

$A = 76$ square - inches

Step3: Recall perimeter formula for parallelogram

The perimeter of a parallelogram is $P = 2(a + b)$, where $a$ and $b$ are the side - lengths. Here, $a = 19$ in and $b = 8$ in.
$P=2(19 + 8)$

Step4: Calculate the perimeter

$P=2\times27=54$ inches

Answer:

a. The area of the quadrilateral is 76 square inches.
b. The perimeter of the quadrilateral is 54 inches.