| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
A quadrilateral is a shape with __________ sides.
3 |
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4 |
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5 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If a = c = 8, b = d = 3, what is the area of this rectangle?
| 25 | |
| 63 | |
| 24 | |
| 18 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 3
a = 24
On this circle, line segment AB is the:
diameter |
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radius |
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circumference |
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chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for a:
a2 - 3a - 54 = 0
| 5 or -3 | |
| 2 or -9 | |
| 6 or -4 | |
| -6 or 9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 3a - 54 = 0
(a + 6)(a - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 6) or (a - 9) must equal zero:
If (a + 6) = 0, a must equal -6
If (a - 9) = 0, a must equal 9
So the solution is that a = -6 or 9