16. The area of a parallelogram is 120. If the base is reduced to one-half its original length, and its height is quadrupled, what is the new area?

(20 pts)

30

60

120

240

Correct option is D) 240 .

Step-by-step explanation:

Here we have , The area of a parallelogram is 120. If the base is reduced to one-half its original length, and its height is quadrupled, We need to find new area . Let's find out:

We know that area of parallelogram is given by :

⇒

According to question , New dimensions are

So ,

⇒

⇒

⇒

⇒

Therefore , Correct option is D) 240 .

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step-by-step explanation:

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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