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

Area of a rhombus = (product of the diagonals)/2. Here the diagonals are 6 in and 4 in, so each rhombus has area
(6·4)/2 = 12 square inches.

11 feet = 11·12 = 132 inches. Each rhombus is 4 in wide, so you can fit 132/4 = 33 rhombi.
Total paper = 33·12 = 396 square inches.