Question

Madhu's flower garden is now a square. if she enlarges it by increasing the width 1 metre and length 3 metres ,the area will be 19 sq metres more than the present area. What is the length of a side?

Answer 1

Let the side of the garden(square) is x m. Then the area is x² m².

The new length is (x+3) m and the new width is (x+1) m.

Then the new area will be, (x+3)(x+1) m².

By the given question,area is 19 more than present area

(x+3)(x+1)=x²+19

or, x²+3x+x+3=x²+19

or, 4x+3=19

or, 4x=19-3

or, 4x=16

or, x=4 m

Length of side=4m