The width of a rectangular table is 2.3 feet less than its length. If the area of the table is 9.5 square​ feet, find its dimensions.

Answers

Answer 1

Answer: Width = 12 feet

length = 9 feet

Answer 2

The dimensions of the rectangular table are approximately 5.77 feet by 3.47 feet.

Let's denote the length of the rectangular table as L.

According to the given information, the width is 2.3 feet less than the length. Therefore, the width can be expressed as L - 2.3.

The area of a rectangle is calculated by multiplying its length by its width. In this case, the area is given as 9.5 square feet.

So, we have the equation:

Length * Width = Area

L * (L - 2.3) = 9.5

Expanding the equation:

L² - 2.3L = 9.5

Rearranging the equation:

L² - 2.3L - 9.5 = 0

To solve this quadratic equation, we can use the quadratic formula:

L = (-b ± √(b² - 4ac)) / (2a)

For this equation, a = 1, b = -2.3, and c = -9.5.

Substituting the values into the quadratic formula, we get:

L = (-(-2.3) ± √((-2.3)² - 4 * 1 * (-9.5))) / (2 * 1)

L = (2.3 ± √(5.29 + 38)) / 2

L = (2.3 ± √43.29) / 2

Calculating the square root and simplifying further, we find two possible values for L:

L ≈ 5.77 or L ≈ -3.07

Since length cannot be negative, we discard the negative solution.

Therefore, the length of the rectangular table is approximately 5.77 feet.

To find the width, we substitute this value back into the equation for the width:

Width = Length - 2.3

Width ≈ 5.77 - 2.3

Width ≈ 3.47 feet

So, the dimensions of the rectangular table are approximately 5.77 feet by 3.47 feet.

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