Question 26

If the length of a rectangle is decreased by 5 metres and breadth increased by 3 metres, its area decreases by 9 $$ m^{2} $$. If its length is increased by 3 m and breadth by 2 m,its area increases by 67 $$ m^{2} $$. What is the length of a rectangle ?

Solution

(l - 5)(b+3) = lb - 9 .... (1)

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

(1) => lb - 5b + 3l -15 = lb - 9

or 3l - 5b = 6

(2) = > lb + 3b + 2l + 6 = lb + 67

or 2l + 3b = 61

from these equations, l = 17 m

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