Find the area of the rhombus.
answer options: 48, 12, 24, 36

Option 3. 24 is the area of the rhombus.

Step-by-step explanation:

Since we know the area of a rhombus = 1/2(multiplication of the diagonals of rhombus)

Here the vertices of rhombus are (-4, 1), (0, 5),(6, 5), and (2,1)

Now distance between (-4, 1) and (6, 5) is

d = √(-4-6)²+(1-5)² = √10²+4² = √100+16 = √116 = 2√29

Now distance between (0, 5), (2, 1) is

d' = √(0-2)²+(5-1)² = √4+16 = √20 = 2√5

So the area = 1/2×2√29×2√5 = 2√29×5 = 2√145 = 24

Therefore the correct option 3 is the correct answer.

ou would have 12 of each

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x