Rhombus has all sides equal. The total amount of paper that will be needed to cover the wall is 396 in².
Given to us
Each rhombus will be 6 inches tall and 4 inches wide.
A.)
The area of each rhombus can be found using the formula,
![Area = \dfrac{1}{2} \times d_1 \times d_2](https://tex.z-dn.net/?f=Area%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%20d_1%20%5Ctimes%20d_2)
We know that diagonals of the rhombus are of length 6 in and 4 in. therefore,
![Area = \dfrac{1}{2} \times 6 \times 4\\\\Area = 12\ in^2](https://tex.z-dn.net/?f=Area%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%20%5Ctimes%206%20%5Ctimes%204%5C%5C%5C%5CArea%20%3D%2012%5C%20in%5E2)
Hence, the area of the single rhombus is 12 in².
We know that the wall is 11 feet long, also, 1 foot = 12 inches, therefore,
11 feet = 132 in.
Now, since the wall is 132 in long and the width of the rhombus is 4 in, therefore, the number of rhombi that will be needed,
![\dfrac{132}{4} =33](https://tex.z-dn.net/?f=%5Cdfrac%7B132%7D%7B4%7D%20%3D33)
Hence, the number of rhombi that will be needed is 33.
We know the area of each paper rhombus, also, we know the number of rhombi that will be needed. Therefore,
![33 \times 12 = 396\ in^2](https://tex.z-dn.net/?f=33%20%5Ctimes%2012%20%3D%20396%5C%20in%5E2)
Hence, the total amount of paper that will be needed to cover the wall is 396 in².
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