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
Answers
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
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