A rectangle has sides of 3x – 4 and 7x + 10. Find the expression that represents its perimeter.
3x-4+7x+10=
3x+7x=10x
−4+10= 14
10x+14
that is my answer please help
You just added two sides, a rectangle has four sides. So the perimeter should be twice what you calculated. However, you have several errors.
-4+10=-6
So you should have gotten 10x-6, however, that needs to be doubled (you only added two sides).
To find the expression that represents the perimeter of the rectangle, we need to add up all four sides.
The given sides of the rectangle are 3x - 4 and 7x + 10.
To find the perimeter, we need to add these sides together:
(3x - 4) + (7x + 10)
To simplify this expression, we can combine like terms by adding the coefficients of x and the constants:
3x + 7x - 4 + 10
Combining the coefficients of x gives us:
10x - 4 + 10
Now, let's combine the constants:
-4 + 10 = 6
Therefore, the expression that represents the perimeter is:
10x + 6
But remember, we need to account for all four sides of the rectangle. So, to get the correct perimeter, we need to double this expression:
2(10x + 6)
Simplifying this expression gives us the final answer:
20x + 12
The expression 20x + 12 represents the perimeter of the given rectangle.