The perimeter of a rectangular table is 48 cm. If the area of the rectangular table is 128 cm2, then what will be the length of the table?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16 cm.
| Understanding/Application |
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Perimeter of rectangle = 2(l + b) = 48 cm Area of reactange = lb = 128 cm2 ⇒ b = 128/l |
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2(l + 128/l) = 48 2[(l2 + 128)/l] = 48 2l2 + 256 = 48l l2 - 24l + 128 = 0 l2 - 16l - 8l + 128 = 0 l(l - 16) -8(l - 16) = 0 l = 16 or 8 Length = 16 cm Breadth = 8 cm |