The perimeter of a rectangular table is 60 cm. If the area of the rectangular table is 209 cm2, then what will be the length of the table?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 19 cm.
| Understanding/Application |
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Let Length of the rectangle = l cm Breadth of the rectangle = b cm 2(l+b) = 60 l+b = 30 b = 30 - l lb = 209 Substituting b = 30 - l in above equation, l(30 - l) = 209 30l - l2 = 209 l2 - 30l -209 = 0 l2 - 11l - 19l - 209 = 0 l(l -11) -19(l -11) = 0 (l -11) (l -19) = 0 |
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l = 11 or 19 Length of the rectangle 11 cm or 19 cm |