Question

Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). a. 24 units2 b. 10 units2 c. 12 units2 d. 18 units2

Answer 1

Answer:

Option D

Step-by-step explanation:

Vertices of the polygon are A(1, 3), B(7, 3), C(7, 7), D(4, 7)

Measure of AB = 7 - 1 = 6 units

Measure of BC = 7 - 3 = 4 units

Measure of CD = 7 - 4 = 3 units

From the figure attached,

Area of the trapezoid = $\frac{1}{2}(AB+CD)(BC)$ [Here, AB and CD are the parallel bases and BC is the height of the trapezoid]

                                    = $\frac{1}{2}(6+3)(4)$

                                    = 18 square units

Therefore, Option D will be the correct option.