The width of a rectangle measures left bracket, 7, h, plus, 3, right bracket(7h+3) centimeters, and its length measures left bracket, 8, h, minus, 4, right bracket(8h−4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
The perimeter of a rectangle is given by the formula P=2(length + width).
The expression for the width is (7h+3) centimeters.
The expression for the length is (8h−4) centimeters.
Therefore, the perimeter is equal to:
P = 2[(7h+3) + (8h−4)]
Simplifying this expression, we get:
P = 2[15h - 1]
P = 30h - 2 centimeters.
So, the expression that represents the perimeter of the rectangle is 30h - 2.
To find the perimeter of a rectangle, we add the lengths of all four sides.
The length of one side is given as (7h+3) centimeters, and the width of the same side is (8h-4) centimeters.
So, the perimeter is given by:
Perimeter = (2 * Length) + (2 * Width)
Substituting the values:
Perimeter = 2*(7h+3) + 2*(8h-4)
Simplifying:
Perimeter = 14h + 6 + 16h - 8
Combining like terms:
Perimeter = 30h - 2
Thus, the expression for the perimeter of the rectangle is 30h - 2 centimeters.
To find the perimeter of a rectangle, we add up all the sides. In this case, we need to find the sum of the four sides of the rectangle.
The width of the rectangle is (7h+3) centimeters, and the length is (8h−4) centimeters.
The four sides of the rectangle are:
1. Top side = Width = (7h+3) centimeters
2. Bottom side = Width = (7h+3) centimeters
3. Left side = Length = (8h−4) centimeters
4. Right side = Length = (8h−4) centimeters
To find the perimeter, we add up all these sides:
Perimeter = Top side + Bottom side + Left side + Right side
Perimeter = (7h+3) + (7h+3) + (8h−4) + (8h−4)
Now, let's simplify the expression:
Perimeter = 7h + 3 + 7h + 3 + 8h - 4 + 8h - 4
Combining like terms, we get:
Perimeter = 7h + 7h + 8h + 8h + 3 + 3 - 4 - 4
Perimeter = 30h - 2
Therefore, the expression representing the perimeter of the rectangle is 30h - 2 centimeters.