Bottom#9 Find the value of X. Round answer to nearest tenth please.
1 answer:
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That's an easy parallelogram, parallel to the x axis. Let's label the points
A(-4,-1),B(-2,4),C(4,4),D(2,-1)
AD and BC are the sides parallel to the x axis. We'll call those the base, it has length 4 - -2 = 6.
The height is the change in y between the bases, so 4 - -1 = 5.
The area is base times height, 6 × 5 = 30
Answer: 30
The shoelace formula gives us the area of a polygon from 2D coordinates without worrying about the shape:
(-4,-1),(-2,4),(4,4),(2,-1)
(-2,4),(4,4),(2,-1),(-4,-1)
So we'll assume the number is x.
So,
15+= 9.
Now, we solve for x:
= 9-15
= -6
x = -6*2
x = -12
Check work:
15+= 9
15+(-6) = 9
15-6 = 9
9 = 9