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A child draws the figure of an aeroplane...

A child draws the figure of an aeroplane as shown. Here, the wings ABCD and FGHI are parallelograms, the tail DEF is an isosceles triangle, the cockpit CKI is a semicircle and CDFI is a square. In the given figure, `BP_|_CD, HQ_|_FI` and `EL_|_DF`. If `CD=8 cm, BP=HQ=4cm` and `DE=EF=5cm`, find the area of the whole figure. [Take `pi=3.14`]

Text Solution

Verified by Experts

The correct Answer is:
`65.12cm^(2)`
Required area `=2xxar(||gmABCD)+ar(DeltaEDF)`
`+` ar(square DCIF)`+` ar(semicircle IKC).
`EL^(2)=DE^(2)-DL^(2)=5^(2)-4^(2)=25-16-16=9impliesEL=3cm`
`:.` required area `={2xx(8xx4)+(1/2xx8xx3)+(8xx8)+(1/2xx3.14xx4xx4)}cm^(2)`
`=(64+12+64+25.12)cm^(2)=165.12cm^(2)`
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