Q:

Find the perimeter and area of each tile pattern.

Accepted Solution

A:
Perimeter is all the outside dimensions added together. Area is length x width of each shape added together.1.  Perimeter = x + x + 1 + 1 + x + 1 +x +1 + (x-1)+1 + x Simplify by combining like terms:5x + (x-1) + 5 = 4x +4Area = x^2 + 1x + 1^2 + 1xSimplify:x^2 + 2x +12. Perimeter: x +1 + x+1+x+1+x+1+x+1+x+1Simplify:  6x +6Area: 1x + 1^2 + 1x +1^2 +1xSimplify: 3x + 23. Perimeter: y+y+1+1+1+1+y-1+1+ySimplify: 4y + 4Area: y^2 + y +14. Perimeter: 1+x+x+x-1+1+1+1+x+x+1+1Simplify: 5x + 7Area: 1^2 + 1^2 + 1x +x^2Simplify: x^2 + x + 2