The area of a rhombus is 132 square cm. if its shorter diagonal is 12 cm, the length of the longer diagonal is_____.Group of answer choices22cm21cm20cm23cm
Question
The area of a rhombus is 132 square cm. If its shorter diagonal is 12 cm, the length of the longer diagonal is _____.
Group of answer choices:
- 22 cm
- 21 cm
- 20 cm
- 23 cm
Solution
To find the length of the longer diagonal of the rhombus, we can use the formula for the area of a rhombus:
Area = (d1 * d2) / 2
where d1 and d2 are the lengths of the diagonals.
Given that the area is 132 square cm and the shorter diagonal is 12 cm, we can substitute these values into the formula:
132 = (12 * d2) / 2
To solve for d2, we can multiply both sides of the equation by 2 and then divide by 12:
264 = 12 * d2 d2 = 264 / 12 d2 = 22
Therefore, the length of the longer diagonal is 22 cm.
Similar Questions
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is
Area of a rhombus is 24 . If one of its diagonals is 6 cm then its perimeter is ________ cm.
If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to [1]a) 20 cm b) 15 cmc) 16 cm d) 17 cm
Rhombus $ABCD$ has perimeter $148$, and one of its diagonals has length $24$. What is the area of $ABCD$?
If the area of a rhombus of perimeter 32 cm is 36 sq. cm, then what is the sum of the lengths (in cm) of its diagonals?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.