Question

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.

Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?

w(w – 2) = 48

w(w + 2) = 48
2w(w – 2) = 48
2w(w + 2) = 48

Answer 1

The area (A) of a rectangular figure may be solved by the formula,
                                    A = l x w
where l is length and w is width. 
Given that length is 2 cm longer than the width, it may be expressed as l = w + 2. Then, the area becomes,
                                     (w + 2) x w = 48
Hence, the answer is the second choice. 

Answer 2

the greatest width in centimeters he can use for the mosaic is   (w + 2) x w = 48.

How to calculate the area of the rectangle?

To calculate the area of the rectangle, just calculate the product of its base and its height, that is, the area is given by the formula A=b⋅h. In addition to the area, another important quantity is the perimeter. To calculate the perimeter of a rectangle, add its four sides.  The formula is:

$A = l *w$

where:

• l is length
• w is width.

Given that length is 2 cm longer than the width, it may be expressed as l = w + 2. Then, the area becomes,

$(w + 2) * w = 48$

See more about area at brainly.com/question/11952845