Mathematics Tests - MathHelp.com - 1000+ Online Math Lessons - By MathHelp.com
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| 00:0-1 | The following is a selected video from your teacher.com where | |
| 00:03 | you can browse over 450 complete math lessons with example | |
| 00:07 | videos , interactive practice problems , self tests and more | |
| 00:11 | . Try a complete lesson today at your teacher dot | |
| 00:14 | com . A rectangle has a diagonal of 10 cm | |
| 00:23 | and a length of eight cm . Find the area | |
| 00:27 | of the rectangle . Let's start this problem by drawing | |
| 00:32 | a picture of the rectangle . Its diagonal is 10 | |
| 00:48 | cm , Its length is eight cm and we're asked | |
| 00:58 | to find its area . Remember that the formula for | |
| 01:02 | the area of a rectangle is length times whip . | |
| 01:07 | Yeah . And were given that the length of the | |
| 01:11 | rectangle is 8cm but we don't know the width which | |
| 01:16 | we can label in our diagram as W to find | |
| 01:21 | the value of W . Notice that a right triangle | |
| 01:24 | is formed in the lower right of the figure . | |
| 01:28 | And since we know the lengths of two sides of | |
| 01:31 | the right triangle , we can use the pythagorean theorem | |
| 01:35 | to find the length of the third side . So | |
| 01:38 | we have eight squared plus W squared equals 10 squared | |
| 01:48 | or 64 plus w squared equals 100 . and subtracting | |
| 01:57 | 64 from both sides , uh huh gives us W | |
| 02:05 | squared equals 36 and square rooting both sides , We | |
| 02:13 | find that w equals six . Now that we know | |
| 02:20 | that the width of the rectangle is six , we | |
| 02:24 | can find the area of the rectangle , which is | |
| 02:27 | the length times the width , or eight times 6 | |
| 02:32 | , Which is 48 . So the area of the | |
| 02:38 | rectangle is 48 square cm . Yeah . Notice that | |
| 02:49 | we include square centimeters in our final answer , because | |
| 02:53 | we were given centimeters is our units in the original | |
| 02:57 | problem . |
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