The side length of square PQRS is half the side length of square ABCD. Square ABCD has an area 49 cm².
a. What is the area of square PQRS?
Since the side length of square PQRS is half the side length of square ABCD, we can find the side length of square PQRS by dividing the side length of square ABCD by 2.
Side length of square ABCD = √49 = 7 cm
Side length of square PQRS = 7 cm / 2 = 3.5 cm
Now, we can find the area of square PQRS:
Area of square PQRS = (side length)^2
Area of square PQRS = (3.5 cm)^2 = 12.25 cm²
Therefore, the area of square PQRS is 12.25 cm².