Q19 of 19 Page 191

Madhu's flower garden is now a square. If she enlarges it by increasing the width 1 m and the length 3 m. The area will be 19 m2 more than the present area. What is the length of a side now?

Let the initial length of side be x


So, the area of a square = a2 = x2 m2


New length = 3 + x


New width = 1 + x


Now it is a rectangle


Area of rectangle = l × b = (3 + x) × (1 + x)


So according to given conditions


19 + x2 = 3 + 4 x + x2


4 x = 16


x = 4m


Therefore, length of side is 4m.


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