Question

Find the area and perimeter of the polygons formed by the algebra tiles below: area: y X perimeter: 1 area: perimeter: 2​

Answer 1

Answer:

The answer is below

Step-by-step explanation:

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = x + 1 + y + 1 + x = 2x + y  + 2

The perimeter of the figure = sum of the length of the sides = 2(1 + (x + 1 + y + 1 + x)) = 2(2x + y + 3) = 4x + 2y + 6

b)

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = y² + xy + 1 + 1 + 1 = y² + xy + 3

The perimeter of the figure = sum of the length of the sides = (y + 1) + x + y + (y + 1) + y + 1 + 1 + 1 + x + 1 = 4y + 2x + 6