Question

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. How much paper does he need for each rhombus

Answer 1

He will need 12 sq. inches of Paper for each rhombus.

Given: 6 inches tall and 4 inches wide.

so, Length of the diagonals are 6 and 4 inches respectively.

Refer to figure.

The two diagonals cuts the rhombus into four equal parts, so

Area of one rhombus = 4 x (area of 1 part of the rhombus)

Now,

Area of 1 part of the rhombus = $\frac{1}{2}$ x 3 x 2

                                                  = 3 sq. inches

Area of one rhombus = 4 x 3 = 12 sq. inches

Hence, 12 sq. inches of Paper is needed for each rhombus.

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Answer 2

The paper required for each rhombus needs to have an area of 12 sq. inches.

Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram. A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square.

Rhombus diagonals d1 and d2 are used to calculate the area of a rhombus, A = 1/2 × d1 × d2.

In the question, we are given that Juan is making a model out of rhombi, where each rhombus will be connected to the one before it, and they are 6 inches tall and 4 inches wide.

We are asked for the paper required for each rhombus.

The diagonals of each of the given rhombus are, d1 = 6 inches, and d2 = 4 inches.

Thus, the area of each rhombus = 1/2 × d1 × d2 = 1/2 × 6 × 4 sq. inches = 12 sq. inches.

Thus, the paper required for each rhombus needs to have an area of 12 sq. inches.

Learn more about the area of a rhombus at
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