Question

The area of a square and rectangle
are equal. If the side of the square is
100 m and the length of the rectangle is
125 m, find the breadth of the rectangle.​ Also find the perimeter of square and a rectangle ​

Answer 1

Answer:

80m

Step-by-step explanation:

Side of square =100m

Area of square =100^2m^2=10000m^2

Area of rectangle =10000^2

Length of the rectangle =125

Breadth of the rectangle =10000m^2/125m=80m

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Answer 2

Given

• Area of the square = Area of the rectangle
• Side of the square = 100 m
• Length of the rectangle = 125 m

To find

• Breadth of the rectangle
• Perimeter of the square
• Perimeter of the rectangle

Answer

• Breadth of the rectangle = 80 m
• Perimeter of the square = 400 m
• Perimeter of the rectangle = 410 m

Solution

Using formula,

Area of square = side × side

Substituting the given values,

⟶ 100 × 100

⟶ 10,000 m²

Area of the square = 10,000 m²

Area of square = Area of rectangle (given)

∴ Area of rectangle = 10,000 m²

Using formula,

Area of rectangle = l × b

where,

• l = length of the rectangle
• b = breadth of the rectangle

Substituting the the given values,

⟶ 10,000 = 125 × b

⟶ 10,000/125 = b

⟶ 80 m

∴ Breadth of the rectangle = 80 m

Using formula,

Perimeter of square = 4 × side

Substituting the the given values,

⟶ 4 × 100

⟶ 400 m

∴Perimeter of the square = 400 m

Using formula,

Perimeter of rectangle = 2(l + b)

Substituting the the given values,

⟶ 2(125 + 80)

⟶ 2(205)

⟶ 410 m

∴Perimeter of the rectangle = 410 m