The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m.

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Question
The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What will be the area of the rectangle?
Options
A. 333 sq.mts
B. 330 sq.mts
C. 362 sq.mts
D. 432 sq.mts

Correct Answer

432 sq.mts

Explanation

Let the breadth of the rectangle = b mts

Then Length of the rectangle = b + 6 mts

Given perimeter = 84 mts

2(L + B) = 84 mts

2(b+6 + b) = 84

2(2b + 6) = 84

4b + 12 = 84

4b = 84 - 12

4b = 72

b = 18 mts

=> Length = b + 6 = 18 + 6 = 24 mts

Now, required Area of the rectangle = L x B = 24 x 18 = 432 sq. mts

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