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kogti [31]
3 years ago
11

The length if Marshall's rectangular poster is 2 times its width.If the perimeter is 24 inches, what is the area of the poster.

What do i do first??
Mathematics
1 answer:
4vir4ik [10]3 years ago
4 0
Length=2x
width=x
Perimeter of a rectangle=2(lenght)+2(width)

The first is to find out the measures of this rectangle, that is to say, you have to find the length and width of these rectangle.

We can suggest this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4

2x=2(4)=8

The lenght will be 8 in, and the length will be 4 in.

The second; you have to calculate the area of this rectangle.
area of a rectangle= lenght x width

area=(8 in)(4 in)=32 in²

answer: the area of Marshall´s rectangular poster would be 32 in²

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adelina 88 [10]

Answer:

a)  <em>"K" is proportional Constant   K= 0.0833</em>

<em>b)     The value of b = 99.639</em>

Step-by-step explanation:

<u><em>Explanation</em></u> :-

Given   'a' is directly proportional to 'b'

                     a ∝ b

                <em>  a  =  k b ....(i)</em>

<em>where "K" is proportional Constant</em>

<u><em>Case(i)</em></u><em>:-</em>

<em>when a =6  and b=72</em>

<em>               a  =  k b     </em>

<em>          ⇒ 6 = k (72)</em>

<em>        ⇒  </em>K = \frac{6}{72} = \frac{1}{12} = 0.0833<em>      </em>

<u><em>Case(ii)</em></u><em>:-      </em>

<em> Given  a = 8.3  </em>

<em>           a  =  k b     </em>

<em>⇒   8.3 = 0.0833 ×b</em>

<em>⇒  </em>b = \frac{8.3}{0.0833} = 99.639<em></em>

<u><em>Final answer</em></u><em>:-</em>

a)<em>"K" is proportional Constant   K= 0.0833</em>

<em>b)     The value of b = 99.639</em>

<em></em>

<em></em>

<em></em>

<em></em>

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assuming you meant 26x^2-9x=0:

26x^{2} -9x=0\\x(26x-9)=0\\x=0;x=\frac{9}{26}

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