The area of a rectangular gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 squarevunits. Find the dimensions of the rectangle?

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Q. The area of a rectangle gets reduced by

9

square units if its length is reduced by

5

units and the breadth is increased by

3

units. If we increase the length by

3

units and breadth by

2

units, the area is increased by

67

square units. Find the length and breadth of the rectangle.

State true or false:

The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. The dimensions of the rectangle are 17 units and 9 units.

Q. The area of a rectangle gets reduced by

9

sq. units, if its length is reduced by

5

units and the breadth, is increased by

3

units. If we increase the length by

3

units and breadth by

2

units, the area is increased by

67

sq. units. Find the length and breadth of the rectangle.

The area of a rectangle gets reduced by 9 square units. if its length is reduced by 5 units and breadth is increased by 3 units. However, if the length of this rectangle increases by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

Let the length of the rectangle = x units and its breadth = y units

According to first condition :
$(x - 5) (y + 3) = x y - 9$ and

According to second condition:
$(x + 3) (y + 2) = x y + 67$

Question 4 (v)
Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:
The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

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