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To find the dimensions of the rectangle, we need to set up equations based on the given area and perimeter. The area of a rectangle is length multiplied by width, so length times width equals 12 cm. The perimeter of a rectangle is given by the formula 2(length + width), which in this case equals 16 cm. By solving these two equations simultaneously, we can find the dimensions of the rectangle.

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4mo ago

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Related Questions

How can the perimeter stay the same and the area change?

4x4 square: perimeter - 16 area - 16 6x2 rectangle perimeter - 16 area - 12


What is the perimeter and the area of a rectangle that is 12 feet x 16 feet?

A rectangle has 2 pairs of equal sides. perimeter is the sum of the lengths of all sides: Perimeter = 12 + 12 + 16 + 16 = 56 Ft Area = 12 x 16 = 192 Ft2


What shape has an area of 12 and a perimeter of 16?

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.


Can a rectangle have a smaller perimeter and also a greater area?

Yes. For instance, the rectangle measuring 1 by 10 has a perimeter of 22 and an area of 10, whereas the rectangle measuring 4 by 4 has a perimeter of 16 and an area of 16.


Is it possible to make a shape of an area of 12 and a perimeter of 16?

Yes a 2 by 6 rectangle for example.


Do all shapes with fixed perimeter have same area?

nope because if u have a square with a side length of 4 then the perimeter is 16 and the area is 16 and say if u have a rectangle with side lengths of 2 and 6 then the perimeter is 16 but the area is 12 so the answer is no


What is the perimeter of 16 and 12 of the shape of a rectangle?

56


How do you find the area of a rectangle with a perimeter of 36m?

how do you find the area of a rectangle witha perimeter of 36 in You don't. You need more information For example a 1 x 17 rectangle has a perimeter of 36 and its area is 17. But a 2 x 16 rectangle also has a perimeter of 36 and its area is 32.


Two rectangles have a perimeter of 16 inches Name two possible areas for each rectangle?

* It is unclear if the question is asking about two rectangles, each with a perimeter of 16, or two rectangles whose perimeters sum to 16. This answer assumes the former.Other than the 4x4 square, which coincidentally has both a perimeter and area of 16, some examples would be:1 x 7 rectangle : perimeter 16 in. , area 7 sq. in2 x 6 rectangle : perimeter 16 in., area 12 sq. in3 x 5 rectangle: perimeter 16 in., area 15 sq. inYou can calculate that for a given perimeter, the largest area is found in the square with a side measurement of P/4, i.e. the length and the width are the same.


What shape has a perimeter of 16 and area of 15?

A 5 by 3 rectangle


Why do the areas of different shapes differ even if their perimeter is same?

A rectangle that's 7 x 1 inches has a perimeter of 16inches,and its area is 7 square inches.A rectangle that's 5 x 3 inches also has a perimeter of 16 inches,but its area is 15 square inches.A rectangle that's 6 x 2 inches also has a perimeter of 16 inches,but its area is 12 square inches.A square that's 4 inches on each side also has a perimeter of 16 inches,but its area is 16 square inches.A circle that's 16 inches around the outside also has a perimeter of 16 inches,and its area is 20.4 square inches.There's no reason why there has to be a connection between perimeter and area.


What happens to the area and the perimeter of a rectangle when the length and width are multiplied by 4?

Area is multiplied by 16. Perimeter is multiplied by 4.