Determine if the trinomial is a perfect square. If so factor, if not explain why

A) A fence will be built around a garden with an area of (49 + 56x + 16) . The dimensions of the garden are cx+d, where c and d are whole numbers. Find an expression for the perimeter of the garden. Find the perimeter when x=5 feet

Question

Determine if the trinomial is a perfect square. If so factor, if not explain why

A) A fence will be built around a garden with an area of (49  + 56x + 16)  . The dimensions of the garden are cx+d, where c and d are whole numbers. Find an expression for the perimeter of the garden. Find the perimeter when x=5 feet

anonymous · Answer

I'm assuming that the garden's Area = 49x^2 + 56x +16
Therefore, A = (cx +d)^2 = 49x^2 +56x +16 = (7x +4)^2
c = 7  d =4
side length s = cx +d = 39
Perimeter = 4s = 156