Question

The length of a rectangle is twice that if its breadth. If the length of the rectangle is increased by 20% while its breadth is decreased by 20%, determine the percentage changed , if any, in its perimeter​

Answer 1

Answer:

Let the Breadth of Rectangle be 100, then Length of Rectangle be (2 × 100) = 200.

★ Perimeter of Rectangle :

↠ Perimeter = 2(Length + Breadth)

↠ Perimeter = 2(100 + 200)

↠ Perimeter = 2 × 300

↠ Perimeter = 600

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☢ According to the Question :

New Length = 100 × 120/100 = 120

New Breadth = 200 × 80/100 = 160

★ Perimeter of New Rectangle :

↠ New Perimeter = 2(Length + Breadth)

↠ New Perimeter = 2(120 + 160)

↠ New Perimeter = 2 × 280

↠ New Perimeter = 560

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☢ CHANGE PERCENTAGE :

⟶ Change% = (Old – New)/Old × 100

⟶ Change% = (600 – 560)/600 × 100

⟶ Change% = 40/6

⟶ Change% = 6.67%

∴ Change Percent in Perimeter is 6.67%

Answer 2

Answer:

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