Area of a rectangular plot is 1620 sq meter. If its length is 9 meter greater than breathe. Find length of plot.
Answers
Answered by
0
Answer:
Length=x
Width=1.15x
1.15x(x)=460
X^2=400
X=20
Answer 20
Rectangle is 20 by 23
Answered by
5
Answer:
The length of plot = 45 m
Step-by-step explanation:
Let the breadth of the plot be x m.
Then, the length of a plot = (x + 9) m
♦ Area of a rectangle = l × b
Here,
l is the length of a rectangular plot.
b is the breadth of a rectangular plot.
Putting the values in the formula, we have:
- 1620 = (x + 9) × x
- 1620 = x² + 9x
- x² + 9x - 1620 = 0
- x² - 36x + 45x - 1620 = 0
- x(x - 36) 45(x - 36) = 0
- (x + 45) (x - 36) = 0
Now, finding the value of x
Take
- x + 45 = 0
- x = - 45
Now, take
- x - 36 = 0
- x = 36
Finally, finding the length of a rectangular plot.
- The length of a rectangular plot = 36 + 9
- The length of a rectangular plot = 45 m
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