Question

3 rhombi are connected at a point, side by side. All sides are congruent. 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? square inches If his wall is 11 feet long, how much paper does he use? square inches.

Answer 1

Rhombus has all sides equal. The total amount of paper that will be needed to cover the wall is 396 in².

Given to us

Each rhombus will be 6 inches tall and 4 inches wide.

A.)

The area of each rhombus can be found using the formula,

$Area = \dfrac{1}{2} \times d_1 \times d_2$

We know that diagonals of the rhombus are of length 6 in and 4 in. therefore,

$Area = \dfrac{1}{2} \times 6 \times 4\\\\Area = 12\ in^2$

Hence, the area of the single rhombus is 12 in².

We know that the wall is 11 feet long, also, 1 foot = 12 inches, therefore,

11 feet = 132 in.

Now, since the wall is 132 in long and the width of the rhombus is 4 in, therefore, the number of rhombi that will be needed,

$\dfrac{132}{4} =33$

Hence, the number of rhombi that will be needed is 33.

We know the area of each paper rhombus, also, we know the number of rhombi that will be needed. Therefore,

$33 \times 12 = 396\ in^2$

Hence, the total amount of paper that will be needed to cover the wall is 396 in².

Learn more about Rhombus:

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