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
b. the perimeter of the quadrilateral is

Explanation:

Convert the height to inches

$$ h = 1\frac{1}{3}\text{ ft} = \frac{4}{3} \times 12\text{ in} = 16\text{ in} $$

Calculate the area of the trapezoid

$$ A = \frac{1}{2} \times (b_1 + b_2) \times h = \frac{1}{2} \times (6\text{ in} + 12\text{ in}) \times 16\text{ in} = 144\text{ sq in} $$

Calculate the perimeter of the trapezoid

$$ P = 6\text{ in} + 12\text{ in} + 5\text{ in} + 5\text{ in} = 28\text{ in} $$

Answer:

a. The area of the quadrilateral is <blank>\(144\)</blank> sq in.

b. The perimeter of the quadrilateral is <blank>\(28\)</blank> in.