is not a rectangle.
has a perimeter of 14 units.
has a area of 8 aquare units.
A rhombus with sides of 4 parallel to the floor, canted sides of 3 and height of 2 making the perimeter = 14 and the area A = 4(2) = 8.
OOPS - Sorry
A parallelogram with sides of 4 parallel to the floor, canted sides of 3 and height of 2 makes the perimeter = 14 and the area A = 4(2) = 8.
To find the shape that is not a rectangle but has a perimeter of 14 units and an area of 8 square units, you can start by listing down the possible shapes one by one and calculating their perimeters and areas.
Let's consider the following shapes:
1. Triangle:
The sides of a triangle can be any combination of lengths that add up to the total perimeter. However, since the area is given as 8 square units, we can use the formula: area = (base * height) / 2. We need to find two numbers that multiply to give 16 (twice the area) and sum up to 14 (the perimeter). By trial and error, we can see that the sides of the triangle are 4, 6, and 4 units, respectively.
Alternatively, you can also start with the perimeter and try different combinations of sides until you find a combination that results in the given area.
2. Parallelogram:
For a parallelogram, the opposite sides are equal in length. Since the perimeter is given as 14 units, we could divide it equally between two opposite sides, resulting in sides of length 7 units each. To find the height, we can use the formula: area = base * height. By rearranging the formula, we have: height = area / base = 8 / 7. The height is approximately 1.14 units.
Now that we have calculated the dimensions for both shapes, we can verify whether they satisfy the given conditions.
Triangle:
Perimeter = 4 + 6 + 4 = 14 units
Area = (4 * 4) / 2 = 8 square units
Parallelogram:
Perimeter = 7 + 7 = 14 units
Area = 7 * 1.14 = 7.98 (approximately 8) square units
Therefore, both a triangle with side lengths of 4, 6, and 4 units and a parallelogram with base and height lengths of 7 and 1.14 units, respectively, satisfy the given conditions.