Question

The area of a rhombus is 94ft^2, one diagonal is 18ft long. Find the length of the other diagonal?

Answer 1

Data:
A (Area) = 94 ft²
D (long diagonal ) = 18 ft
d (lenght diagonal ) = ?

The area of ​​the diamond can be calculated using the following formula.


`A = (D*d)/(2)`

Solving:

`A = (D*d)/(2)`

`94 = (18*d)/(2)`

`94 = (18d)/(2)`
multiply cross

`18d = 94*2`

`18d = 188`

`d = (188)/(18)`

`\boxed{\boxed{d \approx 10.4\:ft}}\end{array}}\qquad\quad\checkmark`