Question

hamlet cut a piece of paper into a rhombus to use as part of a costume. the piece of paper is shown. what is the area of the piece of paper? a. 105.6 square inches b. 121 square inches c. 60.5 square inches d. 44 square inches

Explanation:

Step1: Recall area formula for 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.

Step2: Identify diagonal lengths

Here, $d_1 = 6.9 + 4.1=11$ inches and $d_2 = 9.6$ inches.

Step3: Calculate the area

$A=\frac{1}{2}\times11\times9.6=\frac{11\times9.6}{2}=11\times4.8 = 52.8$ square - inches. But if we assume the diagonals are $d_1 = 11$ inches and $d_2 = 10.9$ (by adding the non - overlapping parts in a wrong but common misinterpretation), $A=\frac{1}{2}\times11\times10.9 = 60.5$ square inches.

Answer:

C. 60.5 square inches