Question

Find the value of

Perimeter=45centimeters
A) 5 centimeters
B) 10 centimeters
C) 15 centimeters
D) 20 centimeters

Answer 1

The perimeter of the shape cannot be determined with the given information.

Step-by-step explanation:

The perimeter is the sum of all the sides of a shape. In this case, the perimeter is given as 45 centimeters. Since we know that a perimeter is the sum of all sides, we can assume that the shape has more than one side.

Let's assume the shape is a rectangle, with sides of length 'l' and width 'w'. The formula for the perimeter of a rectangle is P = 2(l + w).

If we substitute the given perimeter value of 45 and solve the equation, we get:

45 = 2(l + w)

Simplifying this equation, we divide both sides by 2:

22.5 = l + w

Since we don't have enough information about the values of 'l' and 'w', we cannot determine the exact lengths. Therefore, none of the given options of 5 centimeters, 10 centimeters, 15 centimeters, or 20 centimeters can be the correct answer.

Answer 2

The value of the perimeter is 20 centimeters. Thus the correct option is (D).

Step-by-step explanation:

To find the value of the perimeter, we need to add up the lengths of all the sides of the shape. In this case, we have been given that the perimeter is 45 centimeters. Let's break down the calculation:

1. First, we need to identify how many sides the shape has. Since we have not been given this information, let's assume that it is a rectangle, which has four sides.

2. Now, let's calculate each side length based on the given perimeter. The formula for finding the perimeter of a rectangle is: Perimeter = 2(length) + 2(width). Using this formula and our given perimeter of 45 centimeters, we can set up an equation:

Perimeter = 2(length) + 2(width)

45 = 2(length) + 2(width)

45 - 4 = 2(length) + 2(width) (subtracting 4 from both sides to isolate the width and length)

22.5 = 2(length) + width

11.25 = length (dividing both sides by 2 to isolate length)

11.25 = width (since both length and width are equal in a rectangle)Thus the correct option is (D).

3. Now that we have found the length and width, we can calculate each side length:

Top: Length = 11.25 centimeters (since it is one of the four sides)

Bottom: Length = 11.25 centimeters (since it is one of the four sides)

Left: Width = 11.25 centimeters (since it is one of the four sides)

Right: Width = 11.25 centimeters (since it is one of the four sides)

4. Finally, we can add up all four side lengths to find the total perimeter:

Perimeter = Top + Bottom + Left + Right

Perimeter = 11.25 + 11.25 + 11.25 + 11.25 (using our calculated side lengths)

Perimeter = 44 centimeters (rounding to two decimal places)

44 <> 45 (our given perimeter), so we know that our calculated values are not exact but are close enough for our purposes. Therefore, our final answer is that the value of the perimeter is approximately 44 centimeters, but since we were given a perimeter of exactly 45 centimeters, our answer should be rounded up to match that exact value - hence our final answer is that the value of the perimeter is exactly 45 centimeters.