Question

4. The area of a square is equal to the area of a rectangle whose dimensions are 48 cm and 27 cm. Find
the side of the square.
5. Concrete mix is being used to lay tiles in a rectangular plot of length 45 m and width 20 m. Exactly
the same amount of concrete is required to lay floor tiles in a square plot. What is the length of the​

Answer 1

Solution 4:

$\bf{\red{\underline{\bf{Given\::}}}}$

The area of a square is equal to the area of a rectangle whose dimensions are 48 cm and 27 cm.

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The side of the square.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

We know that formula of the area of square;

$\boxed{\bf{Area=side\times side}}}}$

We have dimensions of the rectangle :

• Length = 48 cm
• Breadth = 27 cm

A/q

$\longrightarrow\sf{Area_{square}=Area_{rectangle}}\\\\\longrightarrow\sf{(side)^{2} =Length \times breadth}\\\\\longrightarrow\sf{(side)^{2}=48cm\times 27cm}\\\\\longrightarrow\sf{(side)^{2}=1296cm^{2} }\\\\\longrightarrow\sf{(side)=\sqrt{1296cm^{2} } }\\\\\longrightarrow\sf{\orange{(side)=36\:cm}}$

Thus;

The side of the square is 36 cm.

Solution 5:

$\bf{\red{\underline{\bf{Given\::}}}}$

Concrete mix is being used to lay tiles in a rectangular plot of length 45 m and width 20 m. Exactly,the same amount of concrete is required to lay floor tiles in a square plot.

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The length of the side of square plot.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

A/q

$\longrightarrow\sf{Area_{square}=Area_{rectangle}}\\\\\longrightarrow\sf{(side)^{2} =Length \times breadth}\\\\\longrightarrow\sf{(side)^{2}=45m\times 20m}\\\\\longrightarrow\sf{(side)^{2}=900m^{2} }\\\\\longrightarrow\sf{(side)=\sqrt{900m^{2} } }\\\\\longrightarrow\sf{\orange{(side)=30\:m}}$

Thus;

The length of the side of square plot is 30 m.

Answer 2

Answer:

Step-by-step explanation:

Area of square = Area of rectangle

(side)^2 = length × breadth

(side)^2 = 48 × 27

(side)^2 = 16 × 3 × 3 × 9

(side)^2 = 4^2 × 81

(side)^2 = 4^2 × 9^2

taking square root of both sides ,

side = 4 × 9

side of square = 36 cm