Math, asked by itzzhardik99, 18 hours ago

a rectangular has the equal area to the square of side 56 CM if the length of the rectangle is 64 m find its breadth​

Answers

Answered by cheemtu
27

Answer:

49m²

Step-by-step explanation:

area of rectangle =area of square of side 56cm

= area of square = a² = 56 x 56 = 3136m²

Therefore we can say that the area of the rectangle is also 3136m²

Length of the rectangle (given in the question) = 64m

Let the breadth be x

area of a rectangle = length x breadth

= 3136 = 64 multiplied by x

= 3136 / 64 = x

x = 49

So, we got the breadth too.

Which is, 49m²

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Answered by Anonymous
33

Answer:

The breadth of the rectangle is 0.49cm.

Step-by-step explanation:

Given,

Area of rectangle = Area of square

The side of the square = 56cm

The length of the rectangle = 64m = 6400cm

To find,

The breadth of the rectangle.

Solution,

We know that, the area of a square of side s is given by,

\Rightarrow Area_{(square)} = s \times s

We know that, the area of rectangle of length l and breadth b is given by,

\Rightarrow Area_{(rectangle)} = l \times b

As it is given that, the area of rectangle is equal to the area of square. Therefore,

\begin{array}{l}\Rightarrow Area_{(rectangle)} = Area_{(square)} \\ \Rightarrow l \times b = s \times s\end{array}

By substituting the known values in it, we get:

\begin{array}{l}\Rightarrow 6400 \times b = 56 \times 56 \\ \Rightarrow 6400 \times b = 3136 \\ \Rightarrow 6400b = 3136 \\ \Rightarrow b = \frac{3136}{6400} \\ \Rightarrow b = 0.49\end{array}

Hence, the breadth of the rectangle is 0.49cm

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