question_answer

Find the area of the given field. All dimensions are in m.

A)  \[\text{9000}{{\text{m}}^{\text{2}}}\]                 

B)  \[\text{11700}{{\text{m}}^{\text{2}}}\]   

C)  \[\text{11000}{{\text{m}}^{\text{2}}}\]   

D)         \[\text{12000}{{\text{m}}^{\text{2}}}\]   

Correct Answer: B

Solution :

Area of given field \[\text{=Area(}\Delta \text{EHF)+Area}\](FHJG)+Area\[(\Delta \text{AJG)+Area(}\Delta \text{ABK)+Area(}\]KBCl)+Area ( ICDE) \[\text{=}\frac{1}{2}\times 40\times 20+\frac{1}{2}\times (20+40)\times 80+\frac{1}{2}\times 40\times 80\] \[+\frac{1}{2}\times 30\times 60+\frac{1}{2}(50+30)\times 60+80\times 50\] \[=400+2400+1600+900+2400+4000\] \[=11700{{m}^{2}}\]