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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☯ Let's consider length and breadth of a rectangle be x and y units respectively.
Then,
Area of Rectangle = xy sq. units
━━━━━━━━━━━━━━━━⠀
Now,
★ According to the Question:
Thee area of rectangle gets reduced by 9 square units If its length is reduced by 5 units and breadth by is increased by 3 units.
⠀⠀⠀⠀⠀⠀⠀⠀❬ eq(1) ❭
And,
If we increase the length by 3 units and breadth by 2 units, the area increases by 67 square units.
⠀⠀⠀⠀⠀⠀⠀⠀❬ eq(2) ❭
━━━━━━━━━━━━━━━━⠀
✇ Now, Putting eq (1) in eq (2),
━━━━━━━━━━━━━━━━
✇ Now, Putting value of x in eq (1),
∴ Hence, The length and breadth of rectangle is 17 units and 9 units respectively.
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