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A right angled triangle was cut from a rectangular sheet of length 20 cm whose perimeter is same as a square of side 30 cm. If height of the triangle is same as breadth of rectangular sheet and base is 1/4th of length of sheet then, the area of the remaining sheet is what percent of area of the whole sheet?

A right angled triangle was cut from a rectangular sheet of length 20 cm whose perimeter is same as a square of side 30 cm. If height of the triangle is same as breadth of rectangular sheet and base is 1/4th of length of sheet then, the area of the remaining sheet is what percent of area of the whole sheet? Correct Answer 87.5%

Given,

⇒ Perimeter of square = 30 × 4 = 120cm

⇒ Perimeter of rectangle = 2(length + breadth)

⇒ 120 = 2(20 + breadth)

⇒ Breadth = 40 cm

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For right angled triangle

⇒ Base = 40 cm

⇒ Height = 20/4 = 5 cm

⇒ Area of triangle = 1/2 × base × height = 1/2 × 40 × 5 = 100 cm2

⇒ Area of rectangular sheet = Length × breadth = 20 × 40 = 800 cm2

⇒ Area of remaining sheet = 800 – 100 = 700 cm2

⇒ Required percentage = {(700/800) × 100} = 87.5%

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