Final answer:
To find the area of rhombus RSTU, assuming RT and SU are the diagonals, multiply them and divide by 2 to get the area. The calculation is (10.2 x 30.6) / 2, which equals to approximately 156.1 square units when rounded to the nearest tenth.
Step-by-step explanation:
To find the area of a rhombus, you can use the formula that involves multiplying the lengths of its diagonals and then dividing by two:
Area of a rhombus = (Diagonal 1 x Diagonal 2) / 2
However, we only have the lengths of the sides in the question, not the diagonals. In a rhombus, the diagonals bisect each other at right angles. If we know the sides of the rhombus, RT and SU, we can calculate the area only if we assume RT and SU are the diagonals, which seems to be a likely assumption based on the context of this question.
Assuming RT and SU are the diagonals, we can proceed to calculate the area:
Area of rhombus RSTU = (RT x SU) / 2 = (10.2 x 30.6) / 2
The calculation will be:
Area of rhombus RSTU = (10.2 x 30.6) / 2
Area of rhombus RSTU = 312.12 / 2
Area of rhombus RSTU = 156.06
When we round the answer to the nearest tenth, we get:
Area of rhombus RSTU ≅ 156.1 square units