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Vlada [557]
3 years ago
12

the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle

Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0

Answer:

Length: 11

Width: 5

Step-by-step explanation:

Let W = width

Let L = length

 

Length is 4 less than 3 times the width  ==>  L = 3*W - 4  

 

Let P = Perimeter = 2*W + 2*L

 

Perimeter is 22 more than twice the width  ==>  P = 2*W + 22

 

Setting the 2 expressions for the perimeter equal to each other gives  

 

2*W + 2*L = 2*W + 22

2*L = 22

L = 11  

 

So 11 = 3*W - 4

3*W = 15

W = 5

 

The length is 11 and the width is 5  

 

Check:  3*W - 4 = 11 = Length

           Perimeter = 32 = 22 more than 2*5 = 10

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3 years ago
As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high r
Maslowich

Answer:

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

Step-by-step explanation:

Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.

He wants a supplemental income of$11,400 a year.

Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.

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3 0
4 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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