Leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a length of 2x + 3 feet and a height of 3x + 6 feet. what value of x causes the cabinet to take up 6% of the living room floor?

The answer is

Step-by-step explanation: Given that Leonhard wants to place a triangular based cabinet in the corner of his room which is rectangular in shape.

The base and height of the triangular cabinet are

Therefore, area of the triangular cabinet is given by

Now, the length and breadth of the rectangular room are 30 feet and 20 feet respectively. Therefore, the area of the room is given by

According to the question,

Since the length of something cannot be negative, so the value of 'x' is

because if we take the other value of 'x', the values of (2x+3) and (3x+6) will become negative which is not possible.

Thus, (A) is the correct option.