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Gekata [30.6K]
3 years ago
10

Can someone help me with and and can you please write how you got it so I can understand

Mathematics
2 answers:
EastWind [94]3 years ago
8 0

Answer:

12x + 4

Step-by-step explanation:

ok so a rectangle has 4 sides, 2 of which are called lengths, and 2 of which are widths.

length = 2x-3

width = 4x+5

the perimenter is the total of the 4 sides.

2(2x-3) = 4x-6 (the total for lengths)

2(4x+5) = 8x+10 (the total for widths)

add the 2 together:

12x+4

vekshin13 years ago
3 0

Answer:

<em>2(2x - 3) + 2(4x + 5)=  </em>OR <em>12x + 4</em>

Step-by-step explanation:

First, we need to know the formula of calculating the perimeter

The formula is <em>2(Length) + 2(Width) = Perimeter</em>

The length is <em>2x - 3</em>

The width is <em>4x + 5</em>

Now fill in the known dimensions in the formula

<em>2(2x - 3) + 2(4x + 5)= perimeter</em>

This expression can be used to represent the perimeter of Rectangle ABCD, though (depending on the teacher) it is not simplified.

We remove the brackets by multiplying the number that's outside the brackets by the numbers or figures inside.

hence, <em>4x - 6 + 8x +10 = the perimeter</em>

Note: <u>A negative multiplied by a negative equals a positive. A positive multiplied by a negative and vice versa equals a negative. A positive multiplied by a positive equals a positive.</u>

We can now simplify further by adding <em>like terms.</em> i.e, x + x, and integers + integers.

<em>4x + 8x - 6 + 10 = the perimeter</em>

<em>12x + 4 = the perimeter</em>

The perimeter can be represented by the expression, <em>12x + 4</em>

<em>Or (depending on the teacher,) </em><em>2(2x - 3) + 2(4x + 5)= </em>

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