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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?
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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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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.
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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The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:a)1520b)2420c)2480d)2520Correct answer is option 'D'. Can you explain this answer?
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