The perimeter of a room is 24cm.if it's length is 8cm,find the area
Let's start by finding the width of the room.
Perimeter = 2(length + width)
24 = 2(8 + width)
12 = 8 + width
Width = 4cm
Now we can calculate the area of the room.
Area = length x width
Area = 8cm x 4cm
Area = 32cm²
Therefore, the area of the room is 32cm².
To find the area of the room, we need to know the width of the room. Unfortunately, the given information only provides the perimeter and the length.
Since the perimeter of a rectangle is given by the formula P = 2(length + width), and we are given the perimeter (P) as 24 cm and the length as 8 cm, we can solve for the width.
Plugging in the given values into the formula, we have:
24 cm = 2(8 cm + width)
Next, we need to solve for the width (W).
Divide both sides of the equation by 2, to isolate the expression for width:
24 cm / 2 = 2(8 cm + width) / 2
12 cm = 8 cm + width
Now, subtract 8 cm from both sides of the equation:
12 cm - 8 cm = width
4 cm = width
So, the width of the room is 4 cm.
Now that we have the length and width of the room, we can calculate the area using the formula A = length * width.
Plugging in the given values into the formula, we have:
Area = 8 cm * 4 cm
Area = 32 cm^2
Therefore, the area of the room is 32 square centimeters.
To find the area of a rectangle, we need to know both the length and the width of the rectangle. In this case, we are given the perimeter of the room and one side (length), but we need to find the other side (width).
The perimeter of a rectangle is the sum of all four sides. In this case, the perimeter is given as 24 cm, which means the sum of all four sides is 24 cm.
We know the length of the room is 8 cm. Let's denote the width of the room as 'w'.
Perimeter = 2(length + width)
Plugging in the given values, we have:
24 cm = 2(8 cm + w)
Now, let's solve for 'w':
24 cm = 16 cm + 2w
2w = 24 cm - 16 cm
2w = 8 cm
w = 4 cm
Now we have the width of the room, which is 4 cm. To find the area of the room, we can use the formula:
Area = length × width
Area = 8 cm × 4 cm
Area = 32 cm²
Therefore, the area of the room is 32 cm².