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zheka24 [161]
3 years ago
11

The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, a

nd two 8-unit long segments. Given this information, find the area of the rhombus in square units (Use only the digits 0 – 9 and the decimal point, if needed, to enter a number).
Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Answer:

64\ \text{sq. units}

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}

The area of the rhombus is 64\ \text{sq. units}

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}

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3 years ago
Solve 6 sin((π/5)x)=5 for the four smallest positive solutions
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