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
Answer:
2(2x - 3) + 2(4x + 5)= OR 12x + 4
Step-by-step 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)=
