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.

Thank you for the explanation, it will definetly help me with the other problems.