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The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
  • a)
    1520
  • b)
    2420
  • c)
    2480
  • d)
    2520
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The difference between the length and breadth of a rectangle is 23 m. ...
L - B = 23 & 2(L + B) = 206 or L + B = 103. Now, solving we get L = 63 and B = 40. So, area = (L × B) = 63 ×  40 = 2520.
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Most Upvoted Answer
The difference between the length and breadth of a rectangle is 23 m. ...
Solution:

Let the length and breadth of the rectangle be 'l' and 'b' respectively.

Given, l - b = 23

Also, Perimeter of the rectangle = 2(l + b) = 206

l + b = 103

Now, we have two equations:

l - b = 23 ---(1)

l + b = 103 ---(2)

Solving equations (1) and (2), we get

l = 63 and b = 40

Area of rectangle = l × b = 63 × 40 = 2520 sq.m

Therefore, the correct answer is option D) 2520.
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The difference between the length and breadth of a rectangle is 23 m. ...
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