Question

The width of a rectangle is 7x - 6 feet and the length is 3x + 7 feet. Find the perimeter of the rectangle.

The perimeter of the rectangle is feet. (Simplify your answer

Answer 1

P= 20x+2 ft

Explanation:

________

I I

I I 3x + 7ft

________

7x - 6ft

P= (7x - 6 + 7x - 6) + (3x + 7 + 3x + 7)

= (14x - 12) + (6x + 14)

= 20x + 2 ft

Answer 2

Sure, just to remind, the formula for the perimeter of a rectangle is P = 2*(length + width).

Given the width (w) of the rectangle as 7x - 6 and the length (l) as 3x + 7, we can substitute these expressions into the formula.

So, we have P = 2*(l + w), which can be rewritten as:

P = 2*[(7x - 6) + (3x + 7)]

This simplifies to:

P = 2*(10x + 1)

So, by multiplying inside the parenthesis by 2, we get:

P = 20x + 2

So, the expression for the perimeter of the rectangle in simplified form is 20x + 2. This means that for each value of x, we substitute that value in place of x into our equation and it will give us the rectangular perimeter. We are asked to leave the answer in this format and not to further resolve it. This formula can be used to find different rectangular perimeters by substituting different x values.