Question

Jem boy wants to make his 8-meter square pool into a rectangular one by increasing its length by 2m and decreasing its width by 2m .jem boy asked your expertise to help him decide on certain matters.
a.What will be the new dimensions of jem boy's pool?
b.What will be the new are of Jem Boy's pool? What special product will be used?
c.If the sides of the square pool is unknown,how will you represent its area?
d. I fJem Boy does not want the area of his pool to decrease, will he pursue his plan? Explain your answer.

Answer 1

Side = 8m
He increases length by 2m and reduces width by 2m
(a.) New dimensions will be -
Length = 10m and Width = 6m
(b.) Area = length x breadth (or width)
 here we will use the special product (x+y) (x-y)
length = (x+y) and width = (x-y)
area = (8+2) x (8-2)
            8^(2) - 2^(2) 
            = 60