Carcass wrote:
Attachment:
#greprepclub The length of the width of the larger square is equal.jpg
The length of the width of the larger square is equal to the length of the diagonal (not shown) of the smaller square.
Quantity A |
Quantity B |
The area of the smaller square |
The area of the shaded region |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Lets the side of the smaller square be x.
Area of the smaller square = \(x^2\)
Length of its diagonal = √2x
Length of the smaller diagonal = side of the larger square (given)
Area of the larger square = \(2x^2\)
Shaded area = Larger area - the smaller area
Shaded area = \(x^2\)
They both are equal, so the answer is C