Question

a floir is 5m long and 4m wide . A square carpet of sides 3m is laid on the floor . Find the area of the floor that is not carpated​

Answer 1

$\huge\mathtt{\underline{\blue{ANSWER:-}}}$

The area of floor which is not carpeted

$\sf\implies 11m{}^{2}$

$\huge\mathbb{\underline{\underline{SOLUTION:-}}}$

$\bold{Given}\begin{cases}\sf{Dimensions\:of\:floor}\\ \sf{Side\:of\:square\:carpet}\end{cases}$

$\huge\bf{To\:Find}$

The area of floor which is carpeted

●Now :-

$\sf{\underline{\underline{\red{According\:to\: Question:-}}}}$

• 1st find the total area if floor which is given dimensions

$\bold{Dimensions}\begin{cases}\sf{Length=5m}\\ \sf{Breadth=4m}\end{cases}$

• The floor is in the form of rectangle now we have to find the area of rectangle

$\sf Area\:of\: rectangle=Length\times Breadth$

$\sf Area\:of \: floor=5m×4m\\ \\ \sf\longrightarrow Area\:of\:floor=20m{}^{2}$

$\sf\underline{\blue{Area\:of\:floor=20m{}^{2}}}$

• Now find the area of square carpet

$\sf {\pink{\underline{\underline{Area\:of\:square=Side{}^{2}}}}}$

$\sf. Area\:of\:square\:carpet=3m\times 3m\\ \\ \sf\longrightarrow Area= 9m{}^{2}$

$\sf\underline{\purple{Area\:of\:square\:carpet=9m{}^{2}}}$

$\tt Then \:the\: floor \:is \:carpeted \:by \\ \sf the \:square\: carpet\: whose \:area \:is9m{}^{2}$

$\sf The\:area\:of\: floor=20m{}^{2}$

• We have to find the area of floor that is not carpeted
• So if we subtract the area of carpet from the area of floor
• we get the area of floor that is not carpeted

$\sf Area\:of\:floor\:that\:is\:not\:carpeted\\ \\ \sf \implies Area\:of\:floor-Area\:of\:carpet$

$\bold{we\:find}\begin{cases}\sf{Area\:of\:floor=20m{}^{2}}\\ \sf{Area\:of\:carpet=9m{}^{2}}\end{cases}$

$\sf Area\:of\:floor\:that\:is\:not\:carpeted\:is\\ \\ \sf\implies 20m{}^{2}-9m{}^{2}\\ \\ \sf\implies 11m{}^{2}$

The area of floor that is not carpeted is

$\sf\implies{\purple{11m{}^{2}}}$

#BAL

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