According to the diagram, which of the following statements about area and perimeter of pentagon ABCDE is true? A) Area = 25 Perimeter = 20 B) Area = 30 Perimeter = 22.31 C) Area = 33 Perimeter = 12.5 D) Area = 35 Perimeter = 18

Answer:Option B. Area = 30 Perimeter = 22.31 Step-by-step explanation:step 1Find the measure of the sides of the pentagonObserving the graphAE= 5 unitsED ----> Applying Pythagoras theoremED²=2²+3²=13ED=√13 unitsDC=3 unitsBC=4 unitsAB ---->Applying Pythagoras theoremAB²=3²+6²=13AB=√45 unitsstep 2Find the perimeterP=AE+ED+DC+BC+ABsubstituteP=5+√13 +3+4+√45=22.31 unitsstep 3Find the area The area of the figure is equal to the area of two trapezoidssoA=(1/2)(2+5)(6)+(1/2)(6+3)(2)=21+9=30 units²