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

00:00 Express the area of the square
00:03 Side length according to the given data
00:07 We'll use the formula for calculating the area of a square (side squared)
00:17 We'll substitute appropriate values and solve to find the area
00:32 And this is the solution to the question

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