Question

given np=8.2 and oq=16.3, find the area of rhombus nopq. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Recall rhombus area formula

Area = $\frac{1}{2} \times d_1 \times d_2$, where $d_1, d_2$ are diagonal lengths.

Step2: Substitute given diagonal values

$d_1 = NP = 8.2$, $d_2 = OQ = 16.3$
Expression: $\frac{1}{2} \times 8.2 \times 16.3$

Step3: Calculate the product first

$8.2 \times 16.3 = 133.66$

Step4: Multiply by $\frac{1}{2}$

$\frac{1}{2} \times 133.66 = 66.83$

Step5: Round to nearest tenth

$66.83 \approx 66.8$

Answer:

66.8 square inches