1) the electronic scoreboard at the cricket stadium is 10m^2. For the world cup the score board was enlarged. They increased the length by 1m and the width by 3m. By doing so, the area of the scoreboard tripled. Determine the original length and width of the scoreboard

If the original dimensions were x and y, then we have

xy=10
(x+3)(y+1) = 3*10

Now just solve for x and y.