Question

A rectangle has sides of length 2x+4 and 6.

A) find another set of dimensions for a rectangle that has the same perimeter.
b) Find another set of dimensions for a rectangle that has the same area.

Answer 1

A) P = (2x+4) + (2x+4) +6 +6 = 4x+20
as long as the dimensions add up to 4x+20 they work
for example a square with sides of (x+5) would have same perimeter

B) A = (2x+4)*6 = 12x+24
as long as length*width = 12x+24 they work
for example i can factor out a 2
12x+24 = 2(6x+12)
so length =2
width = 6x+12