Calculate the Area of Square ABCD: Geometric Expression Problem

Question

Look at the following square:

AAABBBDDDCCC

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)
00:16 We'll substitute appropriate values and solve to find the area
00:22 And this is the solution to the problem

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=(6+4x)2 S=(6+4x)^2

Answer

(6+4x)2 (6+4x)^2