The width of a rectangle is w yards and the length of the rectangle is (3w-4) yards. The perimeter of the rectangle is given by the algebraic expression 2w+2(3w-4). simplify the algebraic expression 2w+2(3w-4) and determine the perimeter of a rectangle whose width w is 2 yards. simplify the algebraic expression 2w+2(3w-4)
To simplify the algebraic expression 2w+2(3w-4), we can use the distributive property.
First, distribute the 2 to both terms inside the parentheses:
2w + 2(3w) - 2(4)
Simplifying the values inside the parentheses:
2w + 6w - 8
Combining like terms:
8w - 8
So the simplified algebraic expression is 8w - 8.
To determine the perimeter of a rectangle with width w = 2 yards, we substitute this value into the expression:
8(2) - 8
16 - 8
Perimeter = 8 yards.
To simplify the algebraic expression 2w + 2(3w - 4), we can start by using the distributive property.
Distributing the 2 to both terms inside the parentheses, we get:
2w + 2(3w) - 2(4)
Simplifying further, we have:
2w + 6w - 8
Combining like terms, we get the simplified expression:
8w - 8
To determine the perimeter of a rectangle whose width (w) is 2 yards, we can substitute 2 for w in the simplified expression and evaluate it:
Perimeter = 8w - 8
Perimeter = 8(2) - 8
Perimeter = 16 - 8
Perimeter = 8 yards
To simplify the algebraic expression 2w + 2(3w-4), we first use the distributive property to simplify the expression within the parentheses:
2w + 2(3w-4) = 2w + 6w - 8
Next, we combine like terms:
2w + 6w - 8 = (2w + 6w) - 8 = 8w - 8
Therefore, the simplified expression is 8w - 8.
To determine the perimeter of a rectangle with a width of 2 yards, we substitute w = 2 into the simplified expression 8w - 8:
Perimeter = 8w - 8 = 8(2) - 8 = 16 - 8 = 8 yards.
So, the perimeter of the rectangle with a width of 2 yards is 8 yards.