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Question

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 breadth by 2 units, the area is increased by 67 square units. Can you determine the length and breadth of the rectangle? 


Solution

Let length be l & breadth be b

Area of rectangle is =length×breadth

According to given condition,

(l5)(b+3)=lb9

lb5b+3l15=lb9

3l5b=6(i)

Also,

(l+3)(b+2)=lb+67

2l+3b=61(ii)

Solving (i) and (ii) we get,

2×(i)3×(ii)

6l10b6l9b=12183

19b=171b=9

Substituting value of b in (i)

3l5(9)=6l=17

l=17,b=9

The length is 17 units and breadth is 9 units.



hope you understand the solution 😀

Mathematics

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