Question

An equilateral triangle and a rectangle have the same perimeter. The difference between the sides of the rectangle is 5cm. If the side of the triangle is 20 cm, then find the area of the rectangle?

A 238.56cm² Correct Answer Incorrect Answer
B 136.56cm² Correct Answer Incorrect Answer
C 218.75cm² Correct Answer Incorrect Answer
D 218.65cm² Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Perimeter of the triangle = 3`xx` [if gte msEquation 12]>× [if !msEquation]--> [endif]-->20 = 60 cm Perimeter of rectangle = 2( l + b) = 60 Or, l + b =30 And given that l – b = 5 2l = 35 l = 17.5cm Area of the rectangle = l x b = 17.5`xx` 12.5 = 218.75 cm²

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