Square Area: Finding the Algebraic Expression for ABCD

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 The side length according to the given data
00:07 We'll use the formula for calculating the area of a square (side squared)
00:17 We'll substitute appropriate values and solve to find the area
00:22 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=(x+7y)2 S=(x+7y)^2

Answer

(x+7y)2 (x+7y)^2