This figure is made up of a rectangle and parallelogram. What is the area of this figure? Enter your answer in the box. Do not round any side lengths. Geometry 1 Answer sankarankalyanam Apr 9, 2018 #color(green)("Total Area of the given figure " = color(brown)(51 color(green)(" sq units"# Explanation: #To find Area of Parallelogram ABCF & Rectangle CDEF"# #"Coordinates of " A(4,-9), B(7,-7)C (-3, 7), D (6,1), E (4,-2), F (-5,4), G(4,-7)# #"Area of parallelogram ABCF = BC * BG = 4 * 3 = 12# #bar(CD) = bar(EF) = sqrt((-3-6)^2 + (7-1)^2) = sqrt(117)# #bar(CF) = bar(DE) = sqrt((-3+5)^2 + (7-4)^2) = sqrt(13)# #"Area of Rectangle " CDEF = CD * DE = sqrt117 * sqrt13 = 39# #"Total Area of the figure " ABCDEF = 12 + 39 = 51 "sq units"# Answer link Related questions How do I determine the molecular shape of a molecule? What is the lewis structure for co2? What is the lewis structure for hcn? How is vsepr used to classify molecules? What are the units used for the ideal gas law? How does Charle's law relate to breathing? What is the ideal gas law constant? How do you calculate the ideal gas law constant? How do you find density in the ideal gas law? Does ideal gas law apply to liquids? Impact of this question 8538 views around the world You can reuse this answer Creative Commons License