Question

the length of the side of square A is 50% of the length of the of the side of square b. Express the area of the shaded region of square as a percentage of the area of square b

Answer 1

25%

Explanation:

Ratio of areas = (Ratio of sides)²

Ratio of area = 0.5²

Ratio of areas = 0.25

0.25 × 100 = 25%

Answer 2

25% (note that this is the answer to the question: "express the area of square A as a percentage of the area of square B; there is no diagram showing me where the shaded area is, so I cannot answer the original question)

Explanation:

When the problem says that the side of square A is 50% of the side of square B, it basically means that the side of square A is 1/2 of the side of square B.

Let's say the side length of square A is x, which means the side length of square B is 2x.

Then, the area of square A can be written as
`x^(2)` , and the area of square B can be written as
`4x^(2)`.

There's no diagram here with shaded region, so I'll just find the area of square A as a percentage of the area of square B:

`(x^(2) )/(4x^(2) )` = 1/4 = 25%

So, the answer is 25% (note this is the answer to the question: "express the area of square A as a percentage of the area of square B; there is no diagram showing me where the shaded area is, so I cannot answer the original question)