Question

The length and width of a rectangle are shown below: Length: 50 - X Width: 2x + 10 Which expression represents the area, in square units, of the rectangle? a) 500 - 3x b) 2x^2 + 10x c) 500 - 12x d) 222 - 2x

Answer 1

The area of the rectangle, given the length as 50-X and the width as 2x + 10, can be calculated by using formula Area = Length * Width. After multiplying and simplifying, the expression for the area is -2x² + 90x + 500. None of the given options in the question match this expression.

Step-by-step explanation:

To find the area of a rectangle, you use the formula Area = Length x Width. So, to find the area of this rectangle, we multiply the length and the width together. The length is given as 50 - X and the width as 2x + 10.

The area of the rectangle therefore is (50 - X) * (2x + 10). Expanding this product we have 100x + 500 - 2x² - 10x. Simplifying this, we get -2x² + 90x + 500.

None of the options provided in the question correspond to this expression, therefore the question seems to contain a mistake.

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