What is the perimeter of a rectangle that has a length of 4x+1 and a wigth of 3(x+2)

Question

Answer and work

Please.

Answer 1

Before you determine an expression for the perimeter, it would be helpful to use the distributive property and rewrite the expression for the width as 3x + 6.

Then since the perimeter of a rectangle is defined as 2 times the width plus 2 times the length, you can write an expression to represent the perimeter (P) as:

P = 2(4x+1) + 2(3x+6)

Using the distributive property again, this is equivalent to :

P= 8x + 2 + 6x + 12

If you combine like terms, then:

P = 14x + 14

Answer 2

P=2(l+w)

Substitute the two expressions in for l and w.

P= 2 ( (4x+1) + (3(x+2)))

Then simplify the expression. Start with the w and use the distributive property.

P = 2( (4x+1) + (3x+6))

Then combine like terms for l + w.

P= 2( 7x + 7)

Finally, distribute and simplify.

P = 14x + 14.