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A rectangular red sticker has an area of 48 square millimeters and a perimeter of 28 millimeters. What are the dimensions of the sticker?

Respuesta :

Answer:

The sticker is 8 millimeters x 6 millimeters

Step-by-step explanation:

A = Lw = 48

P = 2L + 2w = 28

Perimeter:

2L + 2w = 28

 2 (L + w) = 28

L + w = 14

 L = 14 - w

Subsitute Into Area:

A = Lw = 48

    (14 - w)w = 48

 

  14w - w² = 48

 

(subtract/add 14w - w² to both sides)

 0 = w² - 14w + 48

 

Solve ^

 =  8  and  =  6

Typically the length is larger, so our answer is  

The sticker is 8 millimeters x 6 millimeters

(hopefully this makes sense, have a nice day!)