A rectangle has sides of 3x – 4 and 7x + 10. Find the expression that represents its perimeter.
A rectangle has four sides, two of one length and two of another. So you would create this equation to solve the problem:
2(3x-4) + 2(7x + 10)
The first half would reduce to:
6x - 8
And the second half:
14x + 20
Then you add them together:
6x - 8 + 14x + 20
And solve the common variables:
20x + 12
And your final answer would be:
p (perimeter) = 20x + 12
To find the expression that represents the perimeter of the rectangle, you need to add up the lengths of all four sides.
The perimeter of a rectangle is given by the formula: P = 2(l + w)
Here, l represents the length of the rectangle and w represents the width.
In this case, the lengths of the sides are given as 3x - 4 and 7x + 10.
So, the expression representing the perimeter can be found by substituting these values into the formula:
Perimeter (P) = 2(3x - 4 + 7x + 10)
Simplifying the expression within the parentheses:
Perimeter (P) = 2(10x + 6)
And further simplifying:
Perimeter (P) = 20x + 12
Therefore, the expression that represents the perimeter of the rectangle is 20x + 12.
To find the expression that represents the perimeter of the rectangle, we need to add up the lengths of all its sides.
In a rectangle, opposite sides are congruent. So, the two sides of the rectangle can be represented by the expressions 3x - 4 and 7x + 10.
The perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is given by:
Perimeter = (3x - 4) + (7x + 10)
To simplify this expression, we can combine like terms:
Perimeter = 3x + 7x - 4 + 10
Perimeter = 10x + 6
Therefore, the expression that represents the perimeter of the rectangle is 10x + 6.