The shape that has an area of 12 and a perimeter of 16 is a rectangle. To find the dimensions of the rectangle, you can set up equations using the formulas for area and perimeter. Let the length of the rectangle be L and the width be W. The equations would be: 2L + 2W = 16 (perimeter) and LW = 12 (area). Solving these equations simultaneously will give you the dimensions of the rectangle.
Chat with our AI personalities
Well, honey, that shape would be a rectangle. It has an area of 12 and a perimeter of 16, which means the length and width would be 4 and 3, respectively. So, grab a ruler and get to measuring those sides!
4x3?
A shape is a nebulous term. It may mean a triangle, a square, or a pentagon in 2D, or a block or pyramid in 3D etc. The perimeter and area cannot be found without defining the shape first. How many dimensions? How many sides? For example, if the shape is a square, which has 4 edges, its perimeter = 4 * 4 [m] = 16 [m] and its area = 4 [m] * 4 [m] = 16 [m^2].
The area of a square with a perimeter of 16 is: 16 square units.
Strictly speaking an area cannot equal a perimeter because an area is a two dimensional concept while a perimeter is one dimensional. A shape can have the same number for its perimeter and its diameter but then thanks to the dimensionality of these measures, this is totally dependant on the units of measurement used.For example a 4m * 4m square has an area of 16 m2 and a perimeter of 16 m. So far so good.But the same shape could be describes as a 400cm * 400 cm square. Now area = 160000 cm2 while perimeter = 1600 cm.Or, 13.1234 ft*13.1234 ft giving an area of 172.2226 square ft and a perimeter of 52.4934 ft.So, through appropriate choice of the unit of measurement, the area and perimeter of any shape can be made numerically equal.
The perimeter is 16 meters.
The area is 16 cm2