Question

What is the area of rectangle wxyz? 125 62.5 80 95.5

Answer 1

The area of rectangle WXYZ is
`\( 125 \, \text{units}^2 \).`

Step-by-step explanation:

To find the area of a rectangle, we use the formula
`\( \text{Area} = \text{Length} * \text{Width} \)`. However, the provided answer choices (125, 62.5, 80, 95.5) do not directly match a length and width pair that results in the area of 125 square units. To identify the correct combination, we can factorize 125 into its prime factors:
`\( 125 = 5 * 5 * 5 \)`. Considering the provided choices, the pair
`\( 5 * 25 \)` satisfies this factorization, resulting in an area of
`\( 5 * 25 = 125 \, \text{units}^2 \).`

The area of a rectangle represents the product of its length and width, and in this case, the dimensions are determined by the factorization of 125. Therefore, the area of rectangle WXYZ is indeed
`\( 125 \, \text{units}^2 \)`. It is crucial to recognize the relationships between factors and multiples when determining the dimensions of geometric shapes based on their given area.

In summary, by factoring 125 into prime factors and considering the provided choices, we find that the area of rectangle WXYZ is accurately represented by the pair of dimensions
`\( 5 * 25 \)`, resulting in an area of
`\( 125 \, \text{units}^2 \).`