the area of a rectangular plot is 528 m². the length of the plot (in metres) is one more than twice its breadth. we need to find the length and breadth
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Answer:
Area =528m
2
Let Breadth be b
Then length l=2b+1
So (b)(2b+1)=528
⇒2b
2
+b−528=0
⇒2b
2
−32b+33b−528=0
⇒2b(b−16)+33(b−16)=0
⇒(2b+33)(b−16)=0
So b=16
l=33.
Step-by-step explanation:
Let the breadth of the rectangular plot be x m. Then, the length of the rectangular plot = (1 + 2x) m. Since, length and breadth of the rectangle cannot be negative. Thus, the breadth of the rectangular plot is 16 m.
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