Perimeter Word Problems | MathHelp.com - By MathHelp.com
Transcript
| 00:00 | The length of a rectangle is seven cm more than | |
| 00:04 | four times its width . It's Parameter is 124 cm | |
| 00:10 | . Find its dimensions . Find its dimensions means find | |
| 00:15 | its length and width . So our first task in | |
| 00:18 | this problem is to set up variables representing length and | |
| 00:22 | width . And we do that by using the first | |
| 00:26 | sentence . The length of a rectangle is seven cm | |
| 00:29 | more than four times its width . So if we | |
| 00:33 | call our with X , that means that our length | |
| 00:44 | is seven more than four times X . Or four | |
| 00:49 | X plus seven . Before moving on , go ahead | |
| 01:00 | and draw a picture of your rectangle so that you | |
| 01:03 | can visualize what's going on . We label our wits | |
| 01:11 | X and our links four x plus seven . Now | |
| 01:22 | we can use the second sentence to set up our | |
| 01:26 | equation . The perimeter of a rectangle is the distance | |
| 01:31 | around the outside of the figure . So if our | |
| 01:34 | parameter is 124 centimeters , that means that X plus | |
| 01:40 | X plus four X plus seven plus four , X | |
| 01:43 | plus seven equals 124 . And that's going to be | |
| 01:48 | our equation . Yeah . Yeah . Yeah . Oh | |
| 01:57 | simplifying . On the left side we get 10 X | |
| 02:01 | plus 14 equals 1 , 24 . Subtract 14 from | |
| 02:08 | both sides and 10 x equals 1 10 , Divide | |
| 02:14 | both sides by 10 and X equals 11 . So | |
| 02:21 | are with Which is x equals 11 cm . And | |
| 02:29 | our length four x plus seven would then be four | |
| 02:33 | times 11 or 44 plus seven , which is 51 | |
| 02:39 | . So our length is 51 cm and these are | |
| 02:47 | the dimensions of our rectangle . |
Summarizer
DESCRIPTION:
This lesson covers the area of a trapezoid. Students learn that a trapezoid is a quadrilateral with one pair of parallel sides, and the formula for the area of a trapezoid is 1/2 times (base 1 + base 2) times height. For example, the area of a trapezoid that has bases of 10 centimeters and 12 centimeters and a height of 8 centimeters is 1/2 times (10 + 12) times 8, which simplifies to 1/2 times 22 times 8, or 11 times 8, which is 88 square centimeters.
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