Question

There is a table in the living room of a house with a length of √x+6 and a breadth of √x+5 . Determine the area of the table in terms of x. Hence determine the the area of the table if x=1.5​

Answer 1

Answer:To find the area of the table in terms of x, we can use the formula for the area of a rectangle: A = length * breadth. Substituting the given values, we get:

A = (√x+6) * (√x+5)

To simplify this expression, we can use the distributive property and the product rule of square roots:

A = √x * √x + √x * 5 + 6 * √x + 6 * 5 A = x + 5√x + 6√x + 30 A = x + 11√x + 30

This is the area of the table in terms of x.

To find the area of the table if x = 1.5, we can substitute x with 1.5 in the simplified expression and evaluate:

A = 1.5 + 11√1.5 + 30 A ≈ 1.5 + 11 * 1.225 + 30 A ≈ 1.5 + 13.475 + 30 A ≈ 44.975

Therefore, the area of the table if x = 1.5 is approximately 44.975 square units.

Explanation: