14. A rectangle and a square have the same perimeter of 100 cm. Find the side of the square. If the
rectangle has a breadth 2 cm less than the side of the square, find the breadth, length and area
of the rectangle.
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14. A rectangle and a square have the same perimeter of 100 cm. Find the side of the square. If the
rectangle has a breadth 2 cm less than the side of the square, find the breadth, length and area
of the rectangle.
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Given :
Perimeter of rectangle = Perimeter of Square = 100 m
Find the side of the square :-
Perimeter of Square = 4 × side
=> 100 m = 4 × Side
=> Side = 100/4 = 25 m
Breadth of rectangle = (side of square - 2) m
= (25 - 2) m = 23 m
Let the length of rectangle be x
Find the length of rectangle :-
Perimeter of rectangle = 2(Length +Breadth)
=> 100 = 2(x + 23)
=> 100/2 = x + 23
=> 50 - 23 = x = 27 m
Find the area of rectangle :-
Area of rectangle = (Length × Breadth) sq. units
= (27 × 23) m²
= 621 m²
Hence,
Length of Rectangle = 27 m
Area of rectangle = 621 m²
Step-by-step explanation:
Perimeter of square 4 × Side
100 = 4 × x
100÷4 = x
x=25
perimeter of rectangle 2(l+b)
breadth =25-2=23
length = 2 ( x + 23)= 100
2x + 46 = 100
2x = 100 - 46
x = 54/2
x = 26
area of rectangle l×b
26×23
598cm^2