A square is converted into a rectangle by increasing

Q: Answer-A square is converted into a rectangle by increasing its length by 50 % and decreasing its width by...

Let side of the square 10m Area of the square 100m and Perimeter of the square 10 x 4 40 m After change, side of the rectangle 15 m and 8 m Area of the rectangle 15 x 8 120m and Perimeter of the rectangle 2 15 8 46 m Area of the rectangle 120 of the area of the square and Perimeter of the rectangle 115 of the perimeter of the square

its length by 50 % and decreasing its width by 20%. Which of the following statements is true?

A Area of rectangle = Area of square Correct Answer Incorrect Answer

B Area of square = 120% of area of rectangle Correct Answer Incorrect Answer

C Area of square = 80% of area of rectangle Correct Answer Incorrect Answer

D Perimeter of the rectangle = 115% of the perimeter of the square Correct Answer Incorrect Answer

Solution

Let side of the square = 10m ∴ Area of the square = 100m² and Perimeter of the square = 10 x 4 = 40 m After change, side of the rectangle = 15 m and 8 m ∴ Area of the rectangle = 15 x 8 = 120m² and Perimeter of the rectangle = 2 (15 + 8) = 46 m ∴ Area of the rectangle = 120% of the area of the square and Perimeter of the rectangle = 115% of the perimeter of the square

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