| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
Which of the following is not true about both rectangles and squares?
the area is length x width |
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all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
If a = 8, b = 6, c = 2, and d = 6, what is the perimeter of this quadrilateral?
| 10 | |
| 25 | |
| 19 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 6 + 2 + 6
p = 22
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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supplementary, vertical |
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obtuse, acute |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
The dimensions of this cube are height (h) = 4, length (l) = 3, and width (w) = 7. What is the surface area?
| 58 | |
| 122 | |
| 258 | |
| 38 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 7) + (2 x 7 x 4) + (2 x 3 x 4)
sa = (42) + (56) + (24)
sa = 122
Solve for c:
c2 + 6c + 8 = 0
| -4 or -9 | |
| -4 or -7 | |
| -1 or -1 | |
| -2 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 6c + 8 = 0
(c + 2)(c + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 2) or (c + 4) must equal zero:
If (c + 2) = 0, c must equal -2
If (c + 4) = 0, c must equal -4
So the solution is that c = -2 or -4