Question

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

Answer 1

2(2x - 3) + 2(4x + 5)= OR 12x + 4

Explanation:

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

The formula is 2(Length) + 2(Width) = Perimeter

The length is 2x - 3

The width is 4x + 5

Now fill in the known dimensions in the formula

2(2x - 3) + 2(4x + 5)= perimeter

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, 4x - 6 + 8x +10 = the perimeter

Note: 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.

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

4x + 8x - 6 + 10 = the perimeter

12x + 4 = the perimeter

The perimeter can be represented by the expression, 12x + 4

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

Answer 2

12x + 4

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