the area of a rectangular plot is 12 sq meters . if the breadth is 9/2 meters then the length of the plot is meters
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Answered by
0
Answer:
98
Step-by-step explanation:
Let the length of the rectangular plot be l m and the breadth of rectangular plot be b m
Area of the rectangular plot =528 m
2
Hence length of the plot is one metre more than twice its breadth so the equation formed from this statement
l=2b+1
Area of rectangular plot =528
⇒l×b=528
⇒(2b+1)b=528 [From l=2b+1]
⇒2b
2
+b=528
⇒2b
2
+b−528=0
⇒2b
2
+33b−32b−528=0
⇒b(2b+33)−16(2b+33)=0
⇒(2b+33)(b−16)=0
Breadth of the rectangular plot cannot be negative
So the b−16=0
⇒b=16 m
Breadth +16 m
Length of the rectangular plot (l)=2b+1
=2×16+1
32+1
33 m
Perimeter of the rectangular plot =2(l+b)=2(33+16)m=2(49)m=98 m
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