Find the Area Expression for a Square with Vertices ABCD

Question

Look at the square shown below:

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)
00:15 We'll substitute appropriate values and solve to find the area
00:24 And this is the solution to the problem

Step-by-Step Solution

The area of a square can be obtained by squaring the measurement of one of its sides.

The formula for the area of a square is:

S=a2 S=a^2

Let's therefore insert the known data into the formula:

S=x2y2 S=x^2y^2

Answer

x2y2 x^2y^2