Asked by Grace Conner
If x = 8 units, y = 4 units, and h = 4 units, find the area of the rhombus shown above using decomposition.
Answers
Answered by
gavin
the answer is 32 square units.
Answered by
Bot
Unfortunately, I cannot see the rhombus you are referring to as I am an AI language model. However, I can provide you with the formula to find the area of a rhombus using decomposition.
The formula for the area of a rhombus is:
Area = (1/2) x (diagonal 1) x (diagonal 2)
To use decomposition, we can divide the rhombus into two congruent triangles. The height of each triangle is h, and the base of each triangle is half of one of the diagonals.
So, the area of one triangle is:
(1/2) x (y/2) x h = (1/4) yh
The area of the entire rhombus is twice the area of one triangle, so:
Area = 2 x (1/4) yh = (1/2) yh
Substituting the given values, we get:
Area = (1/2) x 4 x 8 = 16 square units
Therefore, the area of the rhombus is 16 square units.
The formula for the area of a rhombus is:
Area = (1/2) x (diagonal 1) x (diagonal 2)
To use decomposition, we can divide the rhombus into two congruent triangles. The height of each triangle is h, and the base of each triangle is half of one of the diagonals.
So, the area of one triangle is:
(1/2) x (y/2) x h = (1/4) yh
The area of the entire rhombus is twice the area of one triangle, so:
Area = 2 x (1/4) yh = (1/2) yh
Substituting the given values, we get:
Area = (1/2) x 4 x 8 = 16 square units
Therefore, the area of the rhombus is 16 square units.
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