the length of a rectangle is two and a half times its breadth.if the length is decreased by 2cm and breadth is increased by 1.5cm the area increases by 11cm square.Find the length and breadth of original rectangle?
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Let the breadth be x
then length = 2.5x
area = 2.5x²
new length = 2.5x - 2
new breadth = x+1.5
new area = (2.5x - 2)×(x+1.5)
given
2.5x²+11=2.5x²+1.75x-3
2.5x²-2.5x²+11+3=1.75x
1.75x=14
x=14÷1.75
x=8
so breadth = 8cm
length= 2.5×8= 20 cm
hope it helps
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then length = 2.5x
area = 2.5x²
new length = 2.5x - 2
new breadth = x+1.5
new area = (2.5x - 2)×(x+1.5)
given
2.5x²+11=2.5x²+1.75x-3
2.5x²-2.5x²+11+3=1.75x
1.75x=14
x=14÷1.75
x=8
so breadth = 8cm
length= 2.5×8= 20 cm
hope it helps
please mark brainliest
Mathshelp:
are you sure that this the answer?
pls tell
yeah its correct bcoz 1st area = 160 cmsquare
and second area = 18 multiplied by 9.5 = 171 cmsquare 11 cm more than the 1st area as it is according to question
please mark it brainliest
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