Question

In rhombus CATS, CA= 6x-30. AT= 2x+30 find the perimeter? I need help ASAP PLEASE

Answer 1

Length of CA = 6x - 30

Length of AT = 2x + 30

We know that all sides of a rhombus are congruent.

Which means :

`= 6x - 30 = 2x + 30`

`= 6x - 30 - 2x = 30`

`= 4x - 30 = 30`

`= 4x = 30 + 30`

`= 4x = 60`

`= x = (60)/(4)`

`= x = 15`

Thus, the value of x = 15

Then :

Measure of CA :

`= 6x - 30`

`= 6 * 15 - 30`

`= 90 - 30`

`= 60`

Thus, measure of CA = 60

Measure of AT :

`= 2x + 30`

`= 2 * 15 + 30`

`= 30 + 30`

`= 60`

Thus, measure of AT = 60

Perimefer of rhombus CAT :

`= 4 * side`

`= 4 * 60`

`= \color{plum}240`

Therefore, the perimeter of rhombus CAT = 240