The width of a rectangle is w yards and the length of the rectangle is left parenthesis 7 w minus 4 right parenthesis yards. The perimeter of the rectangle is given by the algebraic expression 2wplus 2left parenthesis 7 w minus 4 right parenthesis. Simplify the algebraic expression 2wplus
2left parenthesis 7 w minus 4 right parenthesis and determine the perimeter of a rectangle whose width w is 3 yards.
Simplify the algebraic expression 2w+2(7w-4) = ____
2w + 2(7w - 4) simplifies to 2w + 14w - 8.
Combining like terms, we get 16w - 8.
To determine the perimeter of a rectangle whose width w is 3 yards, we substitute w = 3 into the expression 16w - 8.
Perimeter = 16(3) - 8 = 48 - 8 = 40 yards.
no
Apologies for the previous mistake.
Let's simplify again:
2w + 2(7w - 4) simplifies to 2w + 14w - 8.
Combining like terms, we get 16w - 8.
To determine the perimeter of a rectangle whose width w is 3 yards, we substitute w = 3 into the expression 16w - 8.
Perimeter = 16(3) - 8 = 48 - 8 = 40 yards.
nooo
Apologies for the confusion. Let's simplify the expression again:
2w + 2(7w - 4)
First, distribute the 2 to both terms inside the parentheses:
2w + 14w - 8
Next, combine like terms:
(2w + 14w) - 8
This simplifies to:
16w - 8
Now, we can find the perimeter of a rectangle with a width of 3 yards by substituting w = 3 into the expression:
Perimeter = 16(3) - 8
Perimeter = 48 - 8
Perimeter = 40 yards
To simplify the algebraic expression 2w + 2(7w - 4), we can use the distributive property.
Distributing the 2 to both terms inside the parentheses, we get:
2w + 2 * 7w - 2 * 4 = 2w + 14w - 8.
Combining like terms, we have:
(2w + 14w) + (-8) = 16w - 8.
Therefore, the simplified algebraic expression is 16w - 8.
To find the perimeter of a rectangle with width w = 3 yards, we substitute w = 3 into the expression:
Perimeter = 16w - 8
= 16 * 3 - 8
= 48 - 8
= 40 yards.
So, the perimeter of a rectangle with a width of 3 yards is 40 yards.
To simplify the algebraic expression 2w + 2(7w - 4), we apply the distributive property.
First, we distribute the 2 to both terms inside the parentheses:
2w + 2 * 7w - 2 * 4
This simplifies to:
2w + 14w - 8
Next, we combine like terms, which means adding or subtracting terms with the same variable and exponent:
(2w + 14w) - 8
This simplifies to:
16w - 8
Now, to determine the perimeter of a rectangle with a width of 3 yards, we substitute w with 3 in the simplified expression:
16(3) - 8
Calculating this expression, we have:
48 - 8 = 40
Therefore, the perimeter of a rectangle with a width of 3 yards is 40 yards.