Question

What is the area of the rhombus shown below?

Answer 1

B. 125.5 square units

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

Answer 2

B

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