Let’s consider all possible rectangles with the same area of 30 square inches.
Please note: the length of the sides are whole numbers.

Let the base of such a rectangle be x and the height be y. How would y depend on x?

Respuesta :

Answer:

Given:

Area of the rectangle  = 30 square inches.

length of the sides are whole numbers.

Solution:

The base of the rectangle  is  x and the height is y

We know that Area of the rectangle  = [tex]length \times breadth[/tex]

That is

30 = [tex]x \times y[/tex]

The possible values of length and breadth

length x : 1    2      3      5    6    10   15    30

breath  y: 30   15    10   6     5    3      2      1

Now

30 =  xy

[tex]y = \frac{30}{x}[/tex]

when y increases x decreases and vice versa