Question

Chap

A rectangle has a perimeter equal to 24.
If we consider its width x, how could
we talk about its length y in terms of x?
What are possible values of x? What
are possible values of y?

plsss
tell me the

y=

width =

length=

Answer 1

Given:

Perimeter of a rectangle = 24

Width of the rectangle = x

Length of the rectangle = y

To find:

The length of the rectangle in terms of x and possible values of x and y.

Solution:

The perimeter of a rectangle is:

`P=2(l+w)`

Where, l is the length and w is the width.

Putting
`P=24,l=y,w=x`, we get

`24=2(y+x)`

Divide both sides by 2.

`12=y+x`

`12-x=y`

The possible values of x are 1, 2, 3, 4, 6, 7, 8, 9, 10, 11 and the respective possible y values are 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1.

Therefore, the value of y in terms of x is
`y=12-x`.