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Question:

Radha made a picture of an aeroplane with coloured paper as shown in Fig12.15. Find the total area of the paper used.

Solution:

Area of regionI:⇒2S=5+5+1=11cm(Isosceles triangle)S=5.5 cmArea ofI=√s(s−a)(s−b)(s−c)=√5.5(5.5𕒹)(5.5𕒹)(5.5𕒵)=.75√11=2.48 cm2AreaII:or Area of rectangle=l×b=6.5×1=6.5 cm2AreaIII:Its a trapeziumSo, we need to calculate the perpendicular height=(1)2−(0.5)2=√0.75=0.86 cmArea of trapezium=Area of parallelogram+Area of equilateral triangle=0.866×1+√34(1)2=0.86+0.43=1.29 cm2Area of regionIV=Area of regionV=12×6×1.5=4.5 cm2Total area of paper used=2.48+6.5+1.29+4.5+4.5=19.27 cm2