Question

The area of rectangle plot of land is 817(4/5) sqm. The breath is 21(¾)m. Find the length (a) and (b) perimeter

Answer 1

Answer:

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Answer 2

Given :

• Area of Rectangle = 817(4/5) m²
• Breadth of Rectangle = 21(3/4) m

To Find :

• a) Length of the Rectangle.
• b) Perimeter of the Rectangle.

Solution :

In this question, Area and Breadth of the rectangle are given in mixed fraction so firstly we will convert them into improper fraction after that we will apply the formula of Area of Rectangle to find the length of the rectangle. After getting length of the rectangle we will apply the formula of perimeter of the rectangle to find the perimeter of the rectangle.

Converting Area and Breadth into improper fraction :

• Area of Rectangle = 817(4/5) m²
• Area of Rectangle = 817 × 5 + 4/5
• Area of Rectangle = 4085 + 4/5
• Area of Rectangle = 4089/5 m²

• Breadth of Rectangle = 21(3/4) m
• Breadth of Rectangle = 21 × 4 + 3/4
• Breadth of Rectangle = 84 + 3/4
• Breadth of Rectangle = 87/4 m

Finding Length of the Rectangle :

• Area of Rectangle = Length × Breadth
• 4089/5 = Length × 87/4
• 4089/5 ÷ 87/4 = Length
• 4089/5 × 4/87 = Length
• 47/5 × 4 = Length
• 47 × 4/5 = Length
• 188/5 = Length

So, Length of the Rectangle is 188/5 m

Finding Perimeter of the Rectangle :

• Perimeter of Rectangle = 2(Length + Breadth)
• Perimeter of Rectangle = 2(188/5 + 87/4)
• Perimeter of Rectangle = 2(188 × 4/5 × 4 + 87 × 5/4 × 5)
• Perimeter of Rectangle = 2(752/20 + 435/20)
• Perimeter of Rectangle = 2(752 + 435/20)
• Perimeter of Rectangle = 2(1187/20)
• Perimeter of Rectangle = 2 × 1187/20
• Perimeter of Rectangle = 1187/10 m

Therefore :

• Length of the Rectangle is 188/5 m
• Perimeter of the Rectangle is 1187/10 or 118.7 m .

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