Answer:
A = ( 11x + 2 )²
Step-by-step explanation:
To find the total area of the quilt, we need to add up all the areas given:
If the border has 44 pieces with an area of x each one, that area is 44x.
The area of 4 squares of 1 in² each is 4×1 in² = 4 in².
The main part is made up of 121 squares with an area of x², which is 121x².
Adding those areas up, we get the expression for the total area:
A = 121x² + 44x + 4
You can easily notice that 121 = 11² and 4 = 2². If you double its product (2·11·2) = 44
So:
A = ( 11x + 2 )²
