Q: What is the area of a rhombus when one of its diagonals is 11.8 cm in length and has a perimeter of 29 cm showing work and answer?

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It depends on what information you have: the length of a side, or the lengths of the diagonals, or a diagonal and an angle. Each of these will give rise to a different formula.

it is impossible for a diagonal of a rhombus to be the same length as its perimeter

The sides of a rhombus must all be the same length, but the angles do not need to be the same. The result is a diamond shape where the diagonals can be two different lengths.

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They are the same length, so 1:1 * * * * * In fact that is the one ratio they cannot be. A rhombus with equal diagonals is a square. The ratio of the lengths can have any other positive value.

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"Congruent" isn't used to describe the diagonals of a rhombus. However, all four sides of a rhombus are congruent - they are all the same length.The diagonals of a rhombus are perpendicular to each other. They are not the same length - if the diagonals were the same length, then you would have a square.

The answer depends on which aspect of a rhombus. Its sides are of equal length but its diagonals are NOT!

It depends on what information you have: the length of a side, or the lengths of the diagonals, or a diagonal and an angle. Each of these will give rise to a different formula.

it is impossible for a diagonal of a rhombus to be the same length as its perimeter

Not in general. The diagonals of a rectangle are equal length. A rhombus that is also a rectangle would be a square.

The length of the sides of the rhombus are 10cm, as a rhombus has equal sides. since the diagonals of a rhombus are perpendicular, ratio of side of rhombus to 1/2 a diagonal to 1/2 of another diagonal is 5:4:3 (pythagorean thriple), hence ratio of side of rhombus to 1 diagonal to another diagonal is 5:8:6. since 5 units = 10cm 8 units = 16cm 6 units = 12cm and there are your diagonals.

The sides of a rhombus must all be the same length, but the angles do not need to be the same. The result is a diamond shape where the diagonals can be two different lengths.

rhombus

Yes, they are perpendicular and intersect at their midpoints. The difference between diagonals in a rhombus as opposed to a rectangle or square is that the diagonals are not of equal length.

The diagonals are not equal in length but thet bisect each other at 90 degrees

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A rhombus.