Sohan wants to show gratitude towards his teacher by giving her a card made by him. He
has three pieces of trapezium pasted one above the other as shown in fig. These pieces
are arranged in a way that AB || HC||GD|| FE. Also BC=CD=DE and AH=HG=GF=6 cm.
He wants to decorate the card by putting up a colored tape on the nonparallel sides of the
trapezium.
Answers
Given : Sohan wants to show gratitude towards his teacher by giving her a cardmade by him.
He has three pieces of trapezium pasted one above the other as shown in the fig.
These pieces are arranged in a way that AB || HC || GD || FE.
Also BC=CD=DE and GF=6 cm. DE = 4 cm
He wants to decorate the card by putting up a coloured tape on non parallel sides of trapezium.
To Find : the total length of coloured tape required
Solution:
AB || HC || GD || FE.
AH/GH = BC/CD
HG/GF = CD/DE
BC=CD=DE = 4 cm
=> AH = HG = GF = 6 cm
non parallel sides of trapezium. = AF + BE
= AH + HG + GF + BC + CD + DE
= 6 + 6 + 6 + 4 + 4 + 4
= 30 cm
total length of coloured tape required = 30 cm
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