Question

14. A rectangle has same area as that of a square of side 10 m. If the breadth of the
rectangle is 8. m, find the perimeter of the rectangle.
15. Split the following shapes into rectangles and find their areas (The
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Answer 1

Correct Question :-

• A rectangle has same area as that of a square of side 10 m. If the breadth of the rectangle is 8m, find the perimeter of the rectangle.

Given :-

• A rectangle has same area as that of a square of side 10 m.
• Breadth of the Rectangle = 8m

To Find :-

• Perimeter of the Rectangle

Solution :-

➞ Area of Rectangle = Area of Square

➞ Length × Breadth = Side × Side

➞ Length × 8 = 10 × 10

➞ Length × 8 = 100

➞ Length = 100 ÷ 8

➞ Length = 12.5m

So, Length of the Rectangle is 10m

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➞ Perimeter of Rectangle = 2 ( l + b )

➞ Perimeter of Rectangle = 2 (12.5 + 8)

➞ Perimeter of Rectangle = 2 × 20.5

➞ Perimeter of Rectangle = 41m

So, Perimeter of the Rectangle is 41m

________________

★ Additional Info :

Formulas Related to Rectangle :

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

Formulas Related to Square :

• Perimeter = 4 × Side
• Area = Side × Side
• Side of Square = √Area
• Diagonal = √2 × Side
• Area = ½ × (Diagonal)²
• Area = (Perimeter ÷ 4)²

________________

Answer 2

Answer:

41 meter

Step-by-step explanation:

Area of rectangle =Area of square

Length × Breadth = side × side

Length × 8 = 10×10

Length × 8 = 100

Length = 100÷8

Length = 12.5 m

Length of rectangle is 10 m .

Perimeter of rectangle =2(Length + Breadth)

Perimeter of rectangle = 2(12.5 m+ 8 m )

Perimeter of rectangle= 2× 20.5

Perimeter of rectangle = 41 m

Answers : Perimeter of rectangle is 41 meter