| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
The dimensions of this trapezoid are a = 4, b = 2, c = 6, d = 7, and h = 3. What is the area?
| 26 | |
| 22 | |
| 9 | |
| 13\(\frac{1}{2}\) |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 7)(3)
a = ½(9)(3)
a = ½(27) = \( \frac{27}{2} \)
a = 13\(\frac{1}{2}\)
Which of the following is not true about both rectangles and squares?
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 area is length x width |
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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).
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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parallel |
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equal angle |
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equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
obtuse, acute |
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vertical, supplementary |
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supplementary, vertical |
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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) = 5, and width (w) = 2. What is the surface area?
| 104 | |
| 76 | |
| 350 | |
| 62 |
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 5 x 2) + (2 x 2 x 4) + (2 x 5 x 4)
sa = (20) + (16) + (40)
sa = 76