Urgent, please help.

The width of a rectangle is a whole number of centimetres.
The length of the rectangle is 7cm longer than the width.
The perimeter of the rectangle is less than 152cm.

Find the greatest possible width of the rectangle.

I will give whoever answers this 50 points please it’s desperate.

Urgent please help The width of a rectangle is a whole number of centimetres The length of the rectangle is 7cm longer than the width The perimeter of the recta class=

Respuesta :

According to the perimeter of the rectangle, it is found that it's greatest possible width is of 34 cm.

What is the perimeter of a rectangle?

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

In this problem, the length of the rectangle is 7cm longer than the width, hence l = 7 + w. Considering that the perimeter is less than 152 cm:

[tex]2(l + w) < 152[/tex]

[tex]l + w < 76[/tex]

[tex]7 + w + w < 76[/tex]

[tex]2w < 69[/tex]

[tex]w < 34.5[/tex]

Rounding, it's it's greatest possible width is of 34 cm.

More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198