a straight wire of length 36 M is bent into the shape of a rectangle if length of the rectangle is times of its breadth find the length and breadth of a rectangle
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Asked on December 20, 2019 byPratika Nandy
A wire is bent in the shape of a rectangle. Its length is 36cm and breadth is 25cm. If the same wire is bent in the shape of a square, what will be the measure of its side? Among these two shape which shape occupies more area?
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ANSWER
Given
Case I : A wire is bent in shape of rectangle.
length=36 cm
Breath=25 cm
Total length of wire is = Perimeter of rectangle
=2(l+b)
=2[36+25]
⇒2(61)=122 cm
length of wire =122 cm
Area occupied by wire =l×b=36×25
⇒AR=900 cm2
Case II: If this wire is bent in shape of square then,
length of wire = Perimeter of square
122=4a
a=4122=261cm
Now area of wire is shape of square =a2
As=(261)2=930.25 cm2
Hence the wire is bent in shape of square then it has each side of 30.5 cm each
And square shape occupies more area.
As=930.25 cm2