The diagonals of the rhombus are 2: 3, and their sum is 25 cm. Find the area of the rhombus.
| December 5, 2020 | education
Let 2x be the first diagonal of the rhombus,
Then the 3x-second diagonal of the rhombus
Their sum is 25, so 2x + 3x = 25
5x = 25
x = 5
1 diagonal = 2 × 5 = 10
2 diagonal = 3 × 5 = 15
The area of the rhombus is equal to half the product of the diagonals:
S = 10 × 15 × 1/2 = 75
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