Question

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

Answer 1

Answer :

• The breadth of the rectangle = 80 m
• The perimeter of the square = 400 m
• The perimeter of the rectangle = 410 m

Step-by-step explanation :

Given :

• The area of a square and rectangle are equal.
• the side of the square is 100 m
• the length of the rectangle is 125 m

To find :

• the breadth of the rectangle
• the perimeter of the square
• the perimeter of the rectangle

Solution :

Area of the square :

Side of the square = 100 m

➙ Area of the square = (side)²

➙ Area of the square = (100 m)²

➙ Area of the square = 10000 m²

Area of the rectangle :

Length = 125 m

let breadth be 'b' m

➙ Area of the rectangle = length × breadth

➙ Area of the rectangle = 125b m²

The area of a square and rectangle are equal.

10000 m² = 125b m²

  125b = 10000

    b = 10000/125

    b = 80 m

∴ The breadth of the rectangle = 80 m

Perimeter of the square :

side = 100 m

➙ Perimeter of the square = 4 × (side)

➙ Perimeter of the square = 4(100 m)

➙ Perimeter of the square = 400 m

Perimeter of the rectangle :

length = 125 m

breadth = 80 m

➙ Perimeter of the rectangle = 2(length + breadth)

➙ Perimeter of the rectangle = 2(125 m + 80 m)

➙ Perimeter of the rectangle = 2(205 m)

➙ Perimeter of the rectangle = 410 m

Answer 2

Answer:

Step-by-step explanation:

he mate here is your answer:

given,

1)The area of a square and rectangle are equal

2) side of the square is 100m

3) length of rectangle is 125 m

.: area of square = side^2

area of rectangle= length*breadth

.:( 100m)^2= 125m*b

10000m^2=125m*b

b= 10000m^2/125m

b = 80m

.:breadth of rectangle = 80m

perimeter of square:

4*side

= 4*100m

= 400m

perimeter of rectangle:

2(l+b)

= 2(125m+80m)

= 2(205m)

= 410m