in a rectangle of perimeter one metre, one side is five centimetres longer than the other. What are the lengths of the sides?
rahul101087:
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Answer:
One side of rectangle is 22.5 cm
Other side = 27.5 cm
Step-by-step explanation:
Let x cm be the one side of the rectangle .
Property of rectangle : opposite side of rectangle are equal .
Since we are given that other side 5 cm longer than the other
⇒ other side = x+5
We are given the perimeter = 1 m
Since 1m = 100 cm
Thus perimeter of rectangle = 100cm
Formula of perimeter of rectangle = 2(length+breadth)
⇒100 cm = 2(x+x+5)
⇒100 cm = 2(2x+5)
⇒100 cm = 4x+10
⇒100 -10 = 4x
⇒90 =4x
⇒
⇒
Thus one side of rectangle is 22.5 cm
Other side = x+5 = 22.5 +5 =27.5 cm
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