Question

Lauren is sewing a quilt using fabric squares.

Answer 1

Answer:

x^2 + 8x + 16

Step-by-step explanation:

Given length of square x + 4.

Area of square with side S is given by $S^2$.

Therefore are of square with side x + 4 is given by $(x + 4)^2$

Area of square = $(x + 4)^2\\=>(x + 4)*(x + 4)\\=> x(x + 4) + 4(x + 4)\\=> x^2 + 4x + 4x + 4*4\\=> x^2 + 8x + 16$

Thus, x2 + 8x + 16 expression represents the area of a fabric square.