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vesna_86 [32]
3 years ago
6

The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 60 m, find its length and width

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer:

Length=17

Width=13

Step-by-step explanation:

The general formula for calculating the perimeter of a rectangle is 2(l+w)

L=length

W=width

But this value is not given specifically in the question,so we will have to interpret the question

So let solve this

Let the length of the rectangle be x

The width is 4m longer than the length,4+x

So let's solve

2(x+4+x)=60

2(2x+4)=60

4x+8=60

Substrate 8 from both sides

4x=52

Let's make x the subject of formula by dividing both sides by 4

x=13

So the width is 13

Let's calculate the length

4+x

4+13

17

Length=17

Width=13

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3x + 2 ≤ 14 <br><br>-5 + 2x &gt; 15 * <br><br>-2x + 4 ≥ 18 <br><br>HaLp i don't gets
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Answer:

  1. x ≤ 4
  2. x > 10
  3. x ≤ -7

Step-by-step explanation:

We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.

1. 3x +2 ≤ 14

  3x ≤ 12 . . . . . subtract 2

  x ≤ 4 . . . . . . . divide by 3

__

2. -5 +2x > 15

  2x > 20 . . . . . . add 5

  x > 10 . . . . . . . . divide by 2

__

3. -2x +4 ≥ 18

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_____

<em>Additional comment</em>

The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.

You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x

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3 years ago
Read 2 more answers
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