He needs 12 square inches of paper, and if his wall was 11 feet long, he would use 396.
Answer:
Part 1) Area of each Rhombus is 12 square inches.
Part 2) Juan will use 396 square inches of paper.
Step-by-step explanation:
Juan is making a border out of Rhombi for his wall.
Each Rhombus will be 6 inches tall and 4 inches wide.
We can say length of diagonals of Rhombus 6 in and 4 in
Part 1) We need to find the area of each Rhombus whose diagonal 6 in and 4 in.
[tex]\text{Formula: Area of Rhombus }=\frac{1}{2}\times d_1\times d_2[/tex]
[tex]\text{Where, }d_1=6\text{in and }d_2=4\ in[/tex]
[tex]\text{Area of Rhombus}=\frac{1}{2}\times 6\times 4\Rightarrow 12\text{ in}^2[/tex]
Thus, Area of each Rhombus is 12 square inches.
Part 2) If wall is 11 feet.
First we change 11 feet into inches.
1 foot = 12 inches
11 feet = 11 x 12 = 132 in
We are given Rhombus is 4 in wide. Each Rhombus cover 4 in but we need to cover 132 in.
[tex]\text{Number of Rhombus need }=\frac{132}{4}\Rightarrow 33[/tex]
We have found area of one Rhombus is 12 square inches.
We need to find total paper to cover wall = 12 x 33 = 396 square inches.
Thus, Juan will use 396 square inches of paper.
