Question

A man uses tiles to cover an area of a rectangular lot, 85 squared meters. Express the total length of the rectangle as a function of the width x.

Answer 1

Answer:

85/X

Step-by-step explanation:

we know that area of rectangulr is = lenght X width

so length=85/x

Answer 2

Given:

Total Area of Rectangular Lot: 85 sq. meters

Width of Rectangle: x

To express: the total length of the rectangle as a function of the width x.

Solution:

Assume that the Length of the rectangle $= y$.

Know that, Formula for calculating the Area of the Rectangle:

$\[Area = length \times width\]$

Understand that, The area of the rectangle may be obtained by multiplying the length and the width of the specified rectangle.

Substitute the given variables and constants to form the required equation.

$85 = xy$

Isolate y by dividing both sides by x to express the total length of the rectangle in terms of width.

$\[\begin{array}{l}\frac{{85}}{x} = \frac{{xy}}{x}\\ \Rightarrow y = \frac{{85x}}{{{x^2}}}\\ \Rightarrow y = \frac{{85}}{x}\end{array}\]$

Therefore, the total length of the rectangle as a function of the width x  is:$\[y = \frac{{85}}{x}\]$