question_answer

Find the area and perimeter of the figure;

A)  \[A=25{{m}^{2}},P=34m\]                      

B)  \[A=19{{m}^{2}},P=34m\]

C)  \[A=104{{m}^{2}},P=68m\]   

D) None of these

Correct Answer: C

Solution :

Calculate the lengths of the sides which are not given: AB = 6m, BC = 10m, CD = 16m, DE = 2m Now, FE = CD + AB = 16 + 6 = 22m AF = BC + DE = 10 + 2 = 12m Required area = Area of rectangle ABCG + area of rectangle GDEF \[=6\times 10+2\times 22=60+44=104{{m}^{2}}\] PERIMETER = Sum of all sides = 6 + 10 + 16 + 2 + 22 + 12 = 68m.