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.

How much paper does he need for each rhombus?

square inches

If his wall is 11 feet long, how much paper does he use?

square inches

Respuesta :

Answer: 12 square inches and 396 square inches

Step-by-step explanation:

1. The amount of paper needed for each rhombus = 12 in.²

2. How much paper needed to cover 11 ft-wall = area of 12 rhombus = 396 in.²

What is the Area of a Rhombus?

Area of rhombus = (product of diagonals)/2

The rhombus given has two diagonals measuring 6 in. and 4 in.

1. How much paper needed for each rhombus = area of rhombus = (6 × 4)/2 = 12 in.²

The amount of paper needed for each rhombus = 12 in.²

2. How much paper needed to cover 11 ft-wall = area of one rhombus × number of rhombus that will cover the length of the wall.

Number of rhombus that will cover the length of the wall = Length of wall in inches / width of the each rhombus = (11 × 12)/4 = 33 rhombus (Note: 12 inches = 1 ft).

Therefore:

How much paper needed to cover 11 ft-wall = area of 12 rhombus =

12 × 33 = 396 in.²

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