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4 years ago

The length of a rectangular portrait is 2.5 time the width. The perimeter is 28 what is the length of the portrait

Mathematics

2 answers:

Kobotan [32]4 years ago

6 0

Answer:

length 10

Step-by-step explanation:

If we hace a width of x then the length is 2.5x. The perimeter of the rectangular portrait is the sum of all sides then: x+x+2.5x+2.5x as we know the perimeter is 28 then:

$x+x+2.5x+2.5x=28$

$2x+5x=28$

$7x=28$

$x=\dfrac{28}{7}=4$

As x is the width to know the length we have to multiply 4 by 2.5 then the length is 10.

Elina [12.6K]4 years ago

5 0

Answer:

Step-by-step explanation:

first ask teacher

second be polite

third ask help from your peers

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3 years ago

<img src="https://tex.z-dn.net/?f=2x%5E2%2B5x%2B3%3D0" id="TexFormula1" title="2x^2+5x+3=0" alt="2x^2+5x+3=0" align="absmiddle"

melamori03 [73]

Answer:

$x=-\frac{3}{2},-1$

Step-by-step explanation:

$2x^2+5x+3=0$

Split the second term (5x) into two terms. Multiply the coefficient of the first term (2) by the constant term (3):

$2*3=6$

Find which two numbers add up to 5 and multiply into 6:

$3+2=5\\3*2=6\\3,2$

Split 5x as the sum of 3x and 2x:

$2x^2+3x+2x+3$

Now factor out a common term for the first 2 terms:

$2x^2+3x\\x(2x+3)$

And do the same for the last 2 terms:

$2x+3\\1(2x+3)$

Re-insert:

$x(2x+3)+1(2x+3)=0$

Factor out the common term 2x+3 and insert the values in front of the parentheses (x and 1):

$(2x+3)(x+1)=0$

Separate the parentheses and equal them to 0. Solve for x:

$2x+3=0\\2x+3-3=0-3\\2x=-3\\\\\frac{2x}{2}=\frac{-3}{2}\\\\ x=-\frac{3}{2}$

and

$x+1=0\\x+1-1=0-1\\x=-1$

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