The perimetre of a rectangle is 150 cm and its length is 15 cm more than its breadth. what are its length and breadth?
Answers
Step-by-step explanation:
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Asked on December 20, 2019 by
Mishthi Krishna
The length a a rectangle is 15 cm more than its width . The perimeter is 150 cm . Find the measures of length and width of the rectangle
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ANSWER
Let the breadth=x
the length =x+15
given perimeter=150
we know
Perimeter of rectangle=2(l+b)
150 = 2( x+ x+15)
75=2x+15
60=2x
30=x
therefore breadth =30 cm
length =30+15=45 cm
check
150=2(45+30)
150=2(75)
150=150
LHS=RHS
hence proved.
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Step-by-step explanation:
Perimeter of Rectangle =2( l+b)
Let the breadth be x
then l= 15+x
150= 2× ( 15+x+x)
150 = 2(15+2x)
= 30+ 4x
150- 30= 4x
120= 4x
X=™120÷4
x=™30
X, Breadth is 30cm
Length is 30+15= 45cm