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Question
given ln = 13.2 and mo = 26.6, find the area of rhombus lmno. round your answer to the nearest tenth if necessary.
answer
attempt 1 out of 2
inches²
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Step1: Recall the formula for the area of a rhombus
The area formula for a rhombus is \( A=\frac{1}{2}d_1d_2 \), where \( d_1 \) and \( d_2 \) are the lengths of the diagonals. Here, \( d_1 = MO = 26.6\) inches and \( d_2=LN = 13.2\) inches.
Step2: Substitute the values into the formula
$$
LATEXBLOCK0
$$
Step3: Calculate the product
\(13.3\times13.2=(13 + 0.3)\times(13+0.2)=13\times13+13\times0.2 + 0.3\times13+0.3\times0.2=169+2.6+3.9 + 0.06=175.56\)
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\(175.6\) square inches