Q5 of 99 Page 264

The area of rectangular land of suhas’s is 500 sq. meter. If length of land is decreased by 3 meter and breadth is increased by 2 meter, then the land formed a square. Let us write by calculating the length and breadth of land of Suhas’s.

Let original length be L and original breadth be B.

L × B = 500.


Since length decreased by 3m and Breadth increased by 2m gives rise to a square,


L - 3 = B + 2 (Because in a square, L = B)


Or L = B + 5


(B + 5) × B = 500


B2 + 5B - 500 = 0


On solving the quadratic equation, we have B = 20 or B = - 25


Since the measurement cannot be negative,


B = 20


So L = B + 5 = 25


More from this chapter

All 99 →
3

The length and breadth of rectangular field of Birati Mahajati Sangha are in the ratio 4 : 3. The path of 336 meter is covered by walking once round the field. Let us write by calculating the area of the field.

 4

The cost of farming a square land of Samar at the rate of Rs. 3.50 per sq. meter is Rs. 1,400. Let us calculate how much cost will be for fencing around its four sides with same height of Samar’s land at the rate of Rs. 8.50 per meter.

 6

Each side of a square land of our village is 300 meter. We shall fence that square land by 3dcm. wide wall with same height around its four sides. Let us see that how much will it cost for the wall at the rate of Rs. 5, 000 per 100 sq. meter.

 7

The length and breadth of rectangular garden of Rehana are 14 meter and 12 meter. If the cost of constructing an equally wide path inside around the garden is Rs. 1,380 at the rate of Rs. 20 per sq. meter, then let us write by calculating how much wide is the path.