The area of a rectangle and a square are equal . if the length of the rectangle is 25cm and the breadth is 16cm. find the side of the square.
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The area of a rectangle and a square are equal . if the length of the rectangle is 25cm and the breadth is 16cm. find the side of the square.
plz answer it
Expert plz answer it
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QuestioN :
The area of a rectangle and a square are equal . if the length of the rectangle is 25cm and the breadth is 16cm. find the side of the square.
GiveN :
The area of a rectangle and area of a square are equal.
The rectangle-
To FiNd :
The side of the square.
ANswer :
The side of the square is 20cm
SolutioN :
We know that,
Area of the rectangle = l × b.
So, Put the Values.
➠ Area of rectangle = 25 × 16 sq.cm.
➠ Area of rectangle = 400 sq.cm.
Now, We know that,
Area of Square = side × side.
According to the given question,
Area of rectangle = Area of square.
➠ side × side = 400 sq.cm.
➠ side² = 400 sq.cm.
➠ side = 20 cm.
∴Hence, Side of square is 20 cm.