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the area of a square and a rectangle are equal. if the length and breadth of the rectangle are 16 m and 4m respectively, find the side length of the square.

User Amjed Omar
by
8.3k points

2 Answers

4 votes

Answer:

8 meters

Explanation:

User Giriraj
by
8.1k points
2 votes

Answer:

Explanation:

To find the side length of the square when the area of a square and a rectangle are equal, we can compare the formulas for the areas of a square and a rectangle.

The formula for the area of a square is given by:

Area of a square = side length^2

The formula for the area of a rectangle is given by:

Area of a rectangle = length * breadth

In this case, we are given that the length of the rectangle is 16 m and the breadth is 4 m. We need to find the side length of the square.

Since the areas of the square and the rectangle are equal, we can set up the following equation:

side length^2 = length * breadth

Let's substitute the given values into the equation:

side length^2 = 16 m * 4 m

Simplifying further:

side length^2 = 64 m^2

To find the side length, we take the square root of both sides of the equation:

side length = √(64 m^2)

Calculating the square root:

side length = 8 m

Therefore, the side length of the square is 8 meters.

User Ed Harper
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