What is the area of the rhombus shown below?

Mathematics

2 answers:

worty [1.4K]3 years ago

8 0

Answer:

B. 125.5 square units

Step-by-step explanation:

The area of a rhombus is half the product of the diagonals.

If the diagonals have lengths a and b, then the are is:

area = ab/2

area = (17)(15)/2

area = 255/2

area = 127.5

Answer: B. 125.5 square units

professor190 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The interior of the 4 triangles in the rhombus are right angle triangles. In addition AC is bisected by BD and BD is bisected by AC. Those form the sides of the right angle triangle.

So the sides of the right angle are

1/2 17 = 8.5 and
1/2 15 = 7.5

The area of one right angle is

1/2 * 8.5 * 7.5 = 1/2 * 63.75 = 31.875
But there are 4 of them
Area of the rhombus = 4 * 31.875 = 127.5

The answer is B

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