| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| 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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the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
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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 side a = 4, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{20} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 22
c2 = 16 + 4
c2 = 20
c = \( \sqrt{20} \)
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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triangle |
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rhombus |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
What is 6a - 9a?
| -3a2 | |
| -3 | |
| 54a2 | |
| -3a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
6a - 9a = -3a
If a = c = 4, b = d = 1, and the blue angle = 70°, what is the area of this parallelogram?
| 6 | |
| 14 | |
| 48 | |
| 4 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 1
a = 4