Question

Rectangle with a length of 96 inches and width of 60 inches. A rug maker wants to increase each dimension by a different amount. Let e and w be increases in inch of length and width. Write a simplified expression

Answer 1

Answer:

The perimeter of the new rectangle in simplified expression can be given as:

$2l+2w+312$

Step-by-step explanation:

The question is incomplete.

The actual question should be:

A rug maker is using a patter that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in inches of the length and width. write and simplify an expression for the perimeter of the new pattern.

Solution:

Original length of the rectangular pattern = 96 inches

Original width of the rectangular pattern = 60 inches

Let increase in length be = $l$ inches

New length of rectangle = $(96+l)$ inches

Let increase in width be = $w$ inches

New width of rectangle = $(60+w)$ inches

The perimeter of a rectangle is given by :

⇒ $2(length+width)$

Substituting the new length and width of the triangle.

⇒ $2(96+l+60+w)$

Simplifying.

⇒ $2(l+w+156)$

Using distribution.

⇒ $2l+2w+312$

Thus, the perimeter of the new rectangle in simplified expression can be given as:

$2l+2w+312$