The perimeter of a piece of paper is 38 inches.its length is 11 inches.find the area of the piece of paper
Let's start by finding the width of the piece of paper. We know that:
Perimeter = 2 (length + width)
Substituting the values given:
38 = 2 (11 + width)
Simplifying and solving for width:
38 = 22 + 2 width
16 = 2 width
Width = 8 inches
Now that we know the length and width of the piece of paper, we can find the area using the formula:
Area = length x width
Area = 11 inches x 8 inches
Area = 88 square inches
Therefore, the area of the piece of paper is 88 square inches.
The perimeter of a square room is 48 inches.find the area of the room.
If the perimeter of a square room is 48 inches, it means that all four sides of the room are equal in length.
Let's denote the length of one side of the square as "s".
Therefore, we know that:
Perimeter of the square = 4s = 48 inches
Solving for "s", we get:
s = 48/4 = 12 inches
Now that we know the length of one side of the square, we can find the area of the room using the formula:
Area = s^2
Substituting the value of "s", we get:
Area = 12 inches x 12 inches
Area = 144 square inches
Therefore, the area of the square room is 144 square inches.
To find the area of a rectangle, we need both the length and the width. However, in this case, we are only given the length and the perimeter.
To find the width of the piece of paper, we can use the formula for the perimeter of a rectangle, which is:
Perimeter = 2(length + width)
Given the perimeter (38 inches) and the length (11 inches), we can substitute those values into the formula and solve for the width.
38 = 2(11 + width)
Now, let's solve for the width:
Divide both sides of the equation by 2:
38/2 = (11 + width)
19 = 11 + width
Subtract 11 from both sides of the equation:
19 - 11 = width
8 = width
Therefore, the width of the piece of paper is 8 inches.
Now that we have the length (11 inches) and the width (8 inches), we can calculate the area of the rectangle using the formula:
Area = length * width
Area = 11 * 8
Area = 88 square inches
Therefore, the area of the piece of paper is 88 square inches.