A rectangle has sides of 4x – 4 and 8x + 10. Find the expression that represents its perimeter
2(4x-4) + 2(8x+10)= Perimeter
2(4x-4)+2(8x+10)=8x-8+16x+20
perimeter=24x+12
thank you
To find the expression that represents the perimeter of a rectangle, we need to add up the lengths of all four sides.
In this case, the rectangle has sides of 4x – 4 and 8x + 10.
The perimeter of a rectangle is given by the formula: P = 2(length + width)
So, we need to multiply each side by 2 and then add them together to get the expression for the perimeter.
Let's start by multiplying the sides by 2:
- The length: 2 * (4x - 4) = 8x - 8
- The width: 2 * (8x + 10) = 16x + 20
Now, we can add these two results together to get the expression for the perimeter:
(8x - 8) + (16x + 20)
Simplifying this expression, we combine like terms:
8x + 16x - 8 + 20
Finally, we simplify further to get the final expression for the perimeter:
24x + 12
Therefore, the expression that represents the perimeter of the rectangle is 24x + 12.