The area of a rhombus can be calculated using the formula: Area = (diagonal1 * diagonal2) / 2. In a rhombus, the diagonals are perpendicular bisectors of each other, and the formula can be simplified to: Area = (d1 * d2) / 2.
Given that the length from each side is 14 cm, the diagonals would be twice the length of the altitude (since the altitude forms a right-angled triangle with half of each diagonal).
So, diagonal1 = diagonal2 = 2 * 16 cm.
Now, you can substitute these values into the formula to find the area.
To find the area of a rhombus, we can use the formula: Area = base * height, where the base is any of the sides of the rhombus and the height is the perpendicular distance between two parallel sides.
In the case of a rhombus, the altitude (height) is the distance between two parallel sides.
Given: Length of each side = 14 cm Altitude (height) = 16 cm
Using the formula, the area of the rhombus is: Area = base * height Area = 14 cm * 16 cm Area = 224 square cm
Therefore, the area of the rhombus-shaped field is 224 square cm.
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Answer:
The area of a rhombus can be calculated using the formula: Area = (diagonal1 * diagonal2) / 2. In a rhombus, the diagonals are perpendicular bisectors of each other, and the formula can be simplified to: Area = (d1 * d2) / 2.
Given that the length from each side is 14 cm, the diagonals would be twice the length of the altitude (since the altitude forms a right-angled triangle with half of each diagonal).
So, diagonal1 = diagonal2 = 2 * 16 cm.
Now, you can substitute these values into the formula to find the area.
Hope the answer is helpful.
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Step-by-step explanation:
To find the area of a rhombus, we can use the formula: Area = base * height, where the base is any of the sides of the rhombus and the height is the perpendicular distance between two parallel sides.
In the case of a rhombus, the altitude (height) is the distance between two parallel sides.
Given: Length of each side = 14 cm Altitude (height) = 16 cm
Using the formula, the area of the rhombus is: Area = base * height Area = 14 cm * 16 cm Area = 224 square cm
Therefore, the area of the rhombus-shaped field is 224 square cm.