Question

test prep a rhombus has sides of length ( x + 6 ) inches and a perimeter of 49 inches. which equation represents this situation?
show hints
( circ x + 6 = 49 )
( circ 4(x + 6) = 49 )
( circ x + 24 = 49 )
( circ 4x + 6 = 49 )

Explanation:

Step1: Recall rhombus perimeter rule

A rhombus has 4 equal sides, so perimeter $P = 4 \times \text{side length}$.

Step2: Substitute given values

Side length is $x+6$, perimeter is 49.
$$4(x+6) = 49$$

Step3: (Optional) Expand to verify

$$4x + 24 = 49$$
(This is an equivalent form, but the direct translation of the situation is the factored version.)

Answer:

$\boldsymbol{4(x + 6) = 49}$ (Option 3)