Question

name: _______________

1. what is the area of this square with sides of $5x^4y^2$?

what is the perimeter of the same figure?

Explanation:

Step1: Calculate square area

Area = side × side = $(5x^4y^2)^2$
Expand: $5^2 \times (x^4)^2 \times (y^2)^2 = 25x^8y^4$

Step2: Calculate square perimeter

Perimeter = 4 × side = $4 \times 5x^4y^2$
Simplify: $20x^4y^2$

Answer:

Area: $25x^8y^4$
Perimeter: $20x^4y^2$