Question

For rhombus abcd find the length of ad and the perimeter of the rhombus

Answer 1

See below

Explanation:

In a rhombus, all four sides are equal to each other

Which means:

`AB = BC = CD = AD`:

`y + 8 = 3y`

Solve for y:

`8 = 3y - y`

`8 = 2y`

= y =
`(8)/(2)`

∴y = 4

Substitute this value of y in any of the two expressions to determine the length of the rhombus :

y + 8

4 + 8 = 12 units

∴Length of AD = 12 units

Perimeter of a rhombus = Sum of all side lengths

= (12 + 12 + 12 + 12) units

= 48 units