Math, asked by piyushr223, 10 days ago

the area of a square and rectangle are equal if the side of square is 100 and the length of rectangle is 125 m find the breadth of rectangle. also find the perimeter of square and rectangle. please give me answer ​

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Answers

Answered by VelvetRosee
0

Answer:

breadth of rectangle is 80m  ;   perimeter of square is 400m ;  perimeter of rectangle is 410m

Step-by-step explanation:

given that:

area of a square and rectangle are equal

side of square is 100 m = S and

the length of rectangle is 125 m = L

area of square = S²

area of rectangle = (L × B)

where B is breadth of rectangle

from area of a square and rectangle are equal

area of square = area of rectangle

S²  =  (L × B)

substitute values of S and L in above equation

(100)² = (125 × B)

(100)(100) = (125 × B)

10000 = 125B

B = (10000)/125

B = 80

so breadth of rectangle is 80m

perimeter of square is 4(S) = 4(100) = 400m

perimeter of rectangle is 2(L+B) = 2(125+80) = 2(205) = 410m

Answered by steffiaspinno
0

The breadth of the rectangle is 80m

The perimeter of the square is 400m

The perimeter of the rectangle is 960m

Explanation:

Given:

1. The area of a square and rectangle are equal

2. The side of the square is 100 m

3. The length of rectangle is 125 m

To find:

The breadth of the rectangle.

The perimeter of square and rectangle.

Formula:

Area of the Square = a²

Area of the Rectangle = l×b

The Perimeter of the square = 4a

The Perimeter of the Rectangle = 2(l+b)

Solution:

==> Side of the square = 100m

==> a = 100m

==> Area of the Square = a²

==> Area = 100²

==> Area of the Square = 10000m².

==> Area of the rectangle = 10000m².

==> Area of Rectangle = l×b

==> length of rectangle is 125 m

==> Area of Rectangle = 125×b

==> 10000 = 125×b

==> b = 10000÷125

==> b= 80 m

The breadth of the rectangle is 80m

==> The perimeter of the square

==> p =4a

==> P = 4×100

==> The perimeter of the square is 400m

==> The perimeter of the rectangle

==> p = 2(l+b)

==> p = 2(400+80)

==> p = 2(480)

==> p = 960 m

==> The perimeter of the rectangle is 960m

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