Area of Square: Calculate Using Expression 4X+4Y

Question

Look at the following square:

AAABBBDDDCCC4X+4Y

Which expression represents its area?

Video Solution

Solution Steps

00:03 Let's start by expressing the area of the square.
00:07 We'll find the side length based on the given data.
00:11 Remember, the formula for the area of a square is the side length squared.
00:20 Now, plug in the values we have, and solve for the area.
00:35 Great job! That's how we find the solution.

Step-by-Step Solution

The area of a square is equal to the measurement of one of its sides squared.

The formula for the area of a square is:

S=a2 S=a^2

Hence let's insert the given data into the formula as follows:

S=(4x+4y)2 S=(4x+4y)^2

Answer

(4y+4x)2 (4y+4x)^2