Question

what is the area of the shaded region?
64 yd
64 yd
26 yd
26 yd
square yards

Explanation:

Step1: Calculate area of large square

The large square has side length \( 64 \) yd. The formula for the area of a square is \( A = s^2 \), where \( s \) is the side length. So, the area of the large square is \( 64^2 = 4096 \) square yards.

Step2: Calculate area of small square

The small square has side length \( 26 \) yd. Using the same square area formula, the area of the small square is \( 26^2 = 676 \) square yards.

Step3: Subtract to find shaded area

The shaded area is the area of the large square minus the area of the small square. So, \( 4096 - 676 = 3420 \) square yards.

Answer:

3420