Question

A room is 12.5 m long and 8 m wide . A square carpet of side 8 m is laid on its floor . find the area of the carpet floor which is not carpeted​

Answer 1

❏ Formula Used:-

✦RECTANGLE✦

For a rectangle of length l and breadth b,

$\sf\longrightarrow \boxed{Area=length\times breadth}$

$\sf\longrightarrow \boxed{Perimeter=2\times(length+Breadth)}$

$\sf\longrightarrow \boxed{Diagonal=\sqrt{length{}^{2}+Breadth{}^{2}}}$

✦SQUARE✦

For a square of side a ,

$\sf\longrightarrow \boxed{Area=Side{}^{2}}$

$\sf\longrightarrow \boxed{Perimeter=4\times side}$

$\sf\longrightarrow \boxed{Diagonal=\sqrt{2}\times side}$

❏ Quéstioñs:-

✰ A room is 12.5 m long and 8 m wide . A square carpet of side 8 m is laid on its floor . find the area of the carpet floor which is not carpeted.!!!

❏ Solution:-

❚❚❚❚❚Given➾

✰For the Room✰

➝length(l)=12.5 m.

➝breadth(b)=8 m.

✰For the Square Carpet✰

➝side(a)=8 m.

Now, area of the Room floor,

$\sf\longrightarrow Area_{\red{room\:floor}}=(12.5\times 8)\:\:m^{2}$

$\sf\longrightarrow \boxed{Area=100\:\:m^{2}}$

Now, Area of the Carpet,

$\sf\longrightarrow Area_{\red{carpet}}=8{}^{2}\:\:m^{2}$

$\sf\longrightarrow \boxed{Area_{\red{carpet}}=64\:\:m^{2}}$

$\bf\therefore$ Area of the floor which is not carpeted,

$\sf\longrightarrow Area_{\red{not\: carpeted}}=Area_{\red{room\:floor}}-Area_{\red{carpet}}$

$\sf\longrightarrow Area_{\red{not\: carpeted}}=(100-64)\:\:m^{2}$

$\sf\longrightarrow \boxed{Area_{\red{not\: carpeted}}=36\:\:m^{2}}$

∴ Area of the carpet floor which isn't carpeted is=36 m²

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