Question

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

Answer 1

Answer:

x = 4m

Step-by-step explanation:

Let the side of the garden(square) is x m. Then the are 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,

(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