Question

A gardener wants his garden to have a geometrical shape.he decides on the following rules for building the flower beds.1)They must all be rectangular.
2)The perimeter and area must be the same.How many different flower beds can the gardener make 1)if one of the side is 3 unit less than the other side.2)if both the sides are of same length.

Answer 1

1)1-1 and 4 (i can only think of this)
2)1-2 and 2

Answer 2

(1) 2(x + x-3) = x(x-3)
x = 1 or 6
But x=1 isn't viable, so only x=6

(2) 2(x+x) = x^2
x = 4