Math, asked by adnanmasood78692, 1 year ago

The length of rectangular plot is 4 longer than its breadth. If each of the length and the breadth of the plot increased by 4m the area of the new rectangle will be 120sq m more than that the original rectangle. Find the length and breadth of the given rectangle?

Answers

Answered by ramakrishnaadape03og
1

I have used S for square symbol for better readability. While copying the solution from this, replace S with square.

Let b be breadth of the given rectangle. Then length will be b+4. Area of this rectangle will be b(b+4) = bS+4b.

Adding 4 for both length and breadth for the new rectangle, the length becomes b+4+4 and breadth becomes b+4. Area of this rectangle is (b+8)(b+4) = bS+8b+4b+32 = bS+12b+32. This new area is 120 more than that of the old rectangle

bS+12b+32 = 120+bS+4b

8b=88

b=11

length of old rectangle is b+4 i.e. 11+4=15

So the dimensions (length and breadth) of the given rectangle are 15 and 11.


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