Question

community group is planning the expansion of a square flower garden in the city park if each side of the original Garden is increased by 9 mm the new total area of the garden will be a hundred and sixty nine square meters find the length of each side of the original Garden

Answer 1

4mm
The sides of the new garden can be represented by x+9. x is the original size and 9 is the added 9mm. Multiply the sides to get (x+9)(x+9) or $(x+9)^2$
this will equal the area. Create an equation to solve for the unknown original length.
$169=(x+9)^2$
Take the square root of both sides
13=x+9
Subtract both sides by 9
4=x The original side was 4mm long