Question

Bela has a rectangular lot with an area of 6x^(2)+10x square units. According to her, the dimensions of the lot are 2x^(2) units and 3x+5 units. Is she correct?

a. Yes
b. No

Answer 1

The provided dimensions are not correct. The correct area of the lot is 6x^(3) + 25x^(2) + 10x + 25 square units.

Step-by-step explanation:

To determine if Bela's dimensions are correct, we can find the area of the rectangular lot using the given dimensions. The area of a rectangle is found by multiplying its length and width. In this case, the length is 2x^(2) units and the width is 3x+5 units. So, the area of the lot is (2x^(2))(3x+5).

Using the distributive property, we can expand this expression to get 6x^(3) + 10x^(2) + 10x + 15x^(2) + 25. Simplifying further, the area of the lot is 6x^(3) + 25x^(2) + 10x + 25 square units.

Comparing this with the given area of 6x^(2) + 10x square units, we can see that the dimensions provided by Bela are not correct. Therefore, the answer is b. No.