Question

Q1

A rectangle has a length of 5x + 6 in and a width of
4x + 6 in. What is the perimeter of the rectangle?

Answer 1

18x + 24 inches.

Explanation:

The perimeter of a rectangle is the sum of the lengths of all its sides. In this case, the rectangle has a length of 5x + 6 inches and a width of 4x + 6 inches.

So, the formula for the perimeter (P) of the rectangle is:

P = 2(length + width)

Substituting the given values, we get:

P = 2(5x + 6 + 4x + 6)

Simplifying the expression inside the parentheses, we get:

P = 2(9x + 12)

Now, multiplying 2 by 9x and 2 by 12, we get:

P = 18x + 24

Therefore, the perimeter of the rectangle is 18x + 24 inches.