Respuesta :
To solve such problems we need to know about the area of a rhombus.
Area of a rhombus
[tex]\rm Area\ of\ rhombus &= \dfrac{(Diagonal_1 \times Diagonal_2)}{2}[/tex]
Given to us
- Juan is making a model out of rhombi. Each rhombus will be connected to the one before it.
- Each Rhombus will be 6 inches tall and 4 inches wide.
A.) The paper needed for each rhombus
As it is given that Each Rhombus will be 6 inches tall and 4 inches wide, therefore, the diagonals of the rhombus are 6 inches and 4 inches.
The paper needed for each rhombus = Area of the rhombus
[tex]\begin{aligned}Area\ of\ rhombus &= \dfrac{(Diagonal_1 \times Diagonal_2)}{2}\\&=\dfrac{6 \times 4}{2}\\&= \dfrac{24}{2}\\&= 12\end{aligned}[/tex]
Therefore, the paper needed for each rhombus is 12 square inches.
B.) Paper used by Juan
As it is we have got the area of the rhombus in. We need to change the wall length to the wall to inches.
1 foot = 12 inches
so,
11 feet = 11 x 12 = 132 in
As per the information given each rhombus is 4 inches wide, and we need to cover 132 in. to make the border of the wall. therefore,
[tex]\rm{Number\ of\ rhombus\ needed = \dfrac{Length\ of\ the\ wall}{Width\ of\ the\ rhombus}[/tex]
[tex]=\dfrac{132}{4}\\\\=33[/tex]
Thus, a total of 33 rhombus are needed to cover the wall.
Total paper needed
[tex]\rm{Total\ paper\ needed = Number\ of\ rhombus\ needed\ \times Area\ of\ rhombus[/tex]
[tex]= 12 in.^2 \times 33\\= 396 in.^2[/tex]
Therefore, the paper used by Juan is 396 square inches.
Learn more about the area of rhombus:
https://brainly.com/question/10713731
Answer:
First Answer: C.)12 sqaure units
Second Answer: B.) 396 square units
Step-by-step explanation:
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