Question

To allow for more dancers the country club can increase the dimensions of the dance floor in 5 foot increments in either direction ; however the committee would like to maintain a square shape. Let n represent the number of 5'increases to the length pf each side of the dance floor. write an expression in terms of n for the additional square feet of dance floor and then use algebraic identities to find a diffrent but equivalent expression for the additional area.

Answer 1

total area= (l+5n)^2

original area= l^2

new area= total area-original= 10*L*n+ 25n^2

check that with a drawing.