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KengaRu [80]
3 years ago
12

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

sticker?
Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Answer:

The sticker is 8 millimeters x 6 millimeters

Step-by-step explanation:

A = Lw = 48

P = 2L + 2w = 28

<u>Perimeter:</u>

2L + 2w = 28

 2 (L + w) = 28

L + w = 14

 L = 14 - w

<u>Subsitute Into Area:</u>

A = Lw = 48

    (14 - w)w = 48

 

  14w - w² = 48

 

<em>(subtract/add 14w - w² to both sides)</em>

 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!)

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