Here are two squares, A and B. A

B

The length of the side of square A is 50% of the length of the side of square B.

Express the area of the shaded region of square A

as a percentage of the area of square B.

otal marks: 3

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The two squares and the shaded region of square A is in the attachment.

The shaded region of A is 12.5% of the area of B.

Step-by-step explanation: Assume that the length of side of square A is a and the length of side of square B is b.

Length a is half (50%) of length b:

a =

The shaded region is a triangle. The area of a triangle is: A =

b and h are the sides of the square A, so:

=

Area of square B is:

= b.b

Comparing areas:

= =

As percentage:

× 100 = 0.125 × 100 = 12.5%

Comparing the shaded region of A to square B, the area of the first is 12.5% smaller than the second.

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