Question

Juan is making a border out of rhombi for his wall. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.

1: How much paper does he need for each rhombus? blank square inches

2: If his wall is 11 feet long, how much paper does he use? balnk square inche

Answer 1

He needs 12 square inches of paper, and if his wall was 11 feet long, he would use 396.

Answer 2

Part 1) Area of each Rhombus is 12 square inches.

Part 2) Juan will use 396 square inches of paper.

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.

`\text{Formula: Area of Rhombus }=(1)/(2)* d_1* d_2`

`\text{Where, }d_1=6\text{in and }d_2=4\ in`

`\text{Area of Rhombus}=(1)/(2)* 6* 4\Rightarrow 12\text{ in}^2`

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.

`\text{Number of Rhombus need }=(132)/(4)\Rightarrow 33`

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.