Geometry Lessons | MathHelp.com - By MathHelp.com
Transcript
| 00:0-1 | a rectangle is twice as long as it is wide | |
| 00:04 | . If the area of the rectangle is 98 square | |
| 00:08 | centimeters , find its dimensions since the rectangle is twice | |
| 00:14 | as long as it is wide , we can use | |
| 00:18 | X . To represent its width And two X . | |
| 00:26 | to represent its length . Remember that the area of | |
| 00:34 | a rectangle is length times with And since the area | |
| 00:41 | of the given rectangle is 98 And the length and | |
| 00:46 | width are two x . and X . We can | |
| 00:49 | set up the equation 98 equals two X times X | |
| 00:59 | , solving from here to X times X is two | |
| 01:03 | X squared . So we have 98 equals two x | |
| 01:09 | squared . And dividing both sides by two Gives us | |
| 01:14 | 49 equals X squared . To get the X . | |
| 01:20 | Term by itself . We take the square root of | |
| 01:23 | both sides And we find that seven equals x . | |
| 01:32 | So the width of the rectangle , which is X | |
| 01:36 | . Is seven centimetres And the length of the Rectangle | |
| 01:44 | two x . is two times 7 or 14 centimeters | |
| 01:54 | . Yeah . Don't forget to include the units in | |
| 01:58 | this case , centimeters In your final answer . |
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