#### Question

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

#### Solution

Given:

Side of the rhombus = 6 cm

Altitude = 4 cm

One of the diagonals = 8 cm

Area of the rhombus = Side x Altitude \[= 6 x 4 = 24 {cm}^2 . . . . . . . . (i)\]

We know: Area of rhombus \[= \frac{1}{2} \times d_1 \times d_2 \]

Using (i):

\[24 = \frac{1}{2} \times d_1 \times d_2 \]

\[24 = \frac{1}{2} \times 8 \times d_2 \]

\[ d_2 = 6 cm\]

Is there an error in this question or solution?

Solution Find the Area of a Rhombus Whose Side is 6 Cm and Whose Altitude is 4 Cm. If One of Its Diagonals is 8 Cm Long, Find the Length of the Other Diagonal. Concept: Area of a Polygon.