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Q.

The area of a rhombus is . One of its diagonals measures 8 cm. The length of the diagonal is ____ cm.

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Detailed Solution

Concept: The length of the diagonal is 12 cm. Assume the diagonal length is x. Then substitute all the known values into the diamond area equation and find the value of x to get the desired length of the diagonal.
Formula used:
The area of the diamond is given as follows:

Question Image

Here it is stated that the area of the diamond is 48 cm2
The diagonal length is 1.8 cm.
Diagonal 2 has a length of x.
Since we found that the area of the diamond is given as:

Inserting each value gives:

To simplify the above values

Divide the entire equation by 4 to get the value of x.

To simplify,

Hence, the correct answer is 12 cm.

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