Area of Square with Side Length 5+2x: Express in Algebraic Form

Question

Look at the following square:

AAABBBDDDCCC5+2X

Express the area of the square in terms of x x .

Video Solution

Solution Steps

00:00 Express the area of the square
00:03 The side length according to the given data
00:07 We'll use the formula for calculating the area of a square (side squared)
00:13 We'll substitute appropriate values and solve to find the area
00:19 And this is the solution to the problem

Step-by-Step Solution

Remember that the area of a square is equal to the side of the square squared.

The formula for the area of a square is:

S=a2 S=a^2

Finally, substitute the data into the formula:

S=(5+2x)2 S=(5+2x)^2

Answer

(5+2x)2 (5+2x)^2