Question

A room has a floor area of 15 m by 10 m. A square carpet of side 7 m is laid on the floor. How much of the floor area is not carpeted?​

Answer 1

Answer:

• 101 m² is the required answer

Step-by-step explanation:

According to the Question

It is given that ,

• Length of Room ,l = 15m
• Breadth of Room ,b = 10m

and,

• Side of Square carpet ,s = 7m

we have to calculate the floor area which is not carpeted .

So, firstly we calculate the floor area of room .

• Area of Floor = Length × breadth

substitute the value we get

➻ Area of floor = 15×10

➻ Area of floor = 150m²

Now, calculating the area of carpet .

• Area of Carpet = Side × Side

Substitute the value we get

➻ Area of Carpet = 7×7

➻ Area of Carpet = 49m²

Area which is not carpeted by the carpet will be

= Area of floor - Area of Carpet

= 150m² - 49m²

= 101m²

• Hence, the area which is not carpeted will be 101 m²

Answer 2

${\large{\red{\underbrace{\underline{\bf{Given :-}}}}}}$

• ↠ Length of floor = 15 m
• ↠ Breadth of floor = 10 m
• ↠ Side of square carpet = 7 m

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${\large{\blue{\underbrace{\underline{\bf{To Find :-}}}}}}$

• ↠ How much area is not carpeted .

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${\large{\orange{\underbrace{\underline{\bf{Solution :-}}}}}}$

❒ We know that :

Area of rectangle :

${\large{\red{\maltese{\blue{\boxed{\green{\boxed{\purple{\bf{Area = Length \times Breadth}}}}}}}}}}$

❒ Area of room :

${\large{:{\longrightarrow{\bf{Area = Length \times Breadth}}}}}$

${\large{:{\longrightarrow{\bf{Area = 15 \times 10}}}}}$

${\red{➤{\red{\underline{\blue{\bf{ Area= 150 {m}^{2} }}}}}}}$

❒ We know that :

Area of square :

${\large{\red{\maltese{\blue{\boxed{\green{\boxed{\purple{\bf{Area = Side \times Side }}}}}}}}}}$

❒ Area of carpet :

${\large{:{\longrightarrow{\bf{Area = side \times side}}}}}$

${\large{:{\longrightarrow{\bf{Area = 7 \times 7}}}}}$

${\red{➤{\red{\underline{\blue{\bf{ Area= 49 {m}^{2} }}}}}}}$

❒ Room not carpeted :

${\large{:{\longrightarrow{\bf{Area \: of \: room - Area \: of \: carpet}}}}}$

${\large{:{\longrightarrow{\bf{ {150 \: m}^{2} - {49 \: m}^{2} }}}}}$

${\large{\green{:{\longmapsto{\pink{\underline{\overline{\boxed{\bf{101 m²}}}}}}}}}}$

❒ Therefore :

➮ Area not carpeted is 101 m².

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