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QThe ratio of a rectangle's breadth to perimeter is 2:10. What is the length of a rectangle whose area is 428 square centimetres?

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#5306Q ID
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AreaTopic
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  • A 25.4 cm ✔ ✖
  • B 55.4 cm ✔ ✖
  • C 35.4 cm ✔ ✖
  • D 45.4 cm ✔ ✖
Correct Answer

Explanation

 
Perimeter of a rectangle = 2 (Length + Breadth)

Let length is L and breadth is B.

So, as per the question = 2(L+B)/B = 10/2
                                     2(L+B)/B = 5/1
                                     2L + 2B = 5B
                                     2B - 5B = - 2L
                                     - 3B = - 2L
                                     B = 2/3 L

Given Area = 430 sq. cm.

Area = Length * Breadth
         430 = L * 2/3 L
         430 = 2/3 L2

Or L2 = 1290 / 2
  L2 = 645
   L = 25.4 cm
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