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erik [133]
3 years ago
14

A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?​

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

9514 1404 393

Answer:

  3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

  P = 2(L+W) = 14a

Using the second equation, we can find L:

  L +W = 7a . . . . . divide by 2

  L = 7a -W

Substituting into the area formula gives the quadratic ...

  (7a -W)(W) = 12a^2

  W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

  (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

  W = 3a, L = 4a

  W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

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Factoring , <br> a² +4a - 5
givi [52]

the factors of the term a^2+4a-5 are (a-1)(a+5)

Step-by-step explanation:

We need to find factors of the term: a^2+4a-5

For finding factors:

We need to break the middle term such that their product is equal to product of first and last term and their sum is equal to middle term

Breaking the middle term and finding factors:

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=a(a+5)-1(a+5)

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So, the factors of the term a^2+4a-5 are (a-1)(a+5)

Keywords: Finding factors

Learn more about finding factors at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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2 years ago
A hula hoop club bought new hula hoops. The state charges 6% sales tax. If the cost for one hula hoop was $17, what was the tota
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Is (8, 3) a solution to the system?<br> - 2 + 4y = 4<br> - 2 + 3y = 1
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Step-by-step explanation:

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