Question

If the total cost of flooring a room at ₹8 per m is ₹560 and the length of the room is 10m, find it's breadth. ​

Answer 1

Answer:

If the total cost of flooring a room at ₹8 per m is ₹560 and the length of the room is 10m,

the area of room

$a = \frac{560}{8} = 70 \: {m}^{2}$

$area \: = l \times b$

$70 = 10 \times b \\ b = 7 \: m$

Answer 2

Question:

If the total cost of flooring a room at ₹8 per m is ₹560 and the length of the room is 10m, find it's breadth.  

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\green{\bf{Required\:Answer \: :-}}}}}$

• Breadth of given floor is 7 meters

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\orange{\sf{Given \: :-}}}}}$

• Cost of flooring a room at ₹8 per m=₹560
• length of floor=10 meters

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\pmb{\tt{To\:Find \: :}}}}}$

• breadth=?

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\Large{\underline{\pmb{\rm{Formula\:Using}}}}}$

${\large{\underline{\pmb{\frak{Area\:of\:rectangle}}}}}$

${\large{\bigstar{\underline{\boxed{\red{\sf{Area_{\:rectangle}=l \times b}}}}}}}$

Here-

• l=length
• b=breadth

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

$\qquad\qquad\quad{\Large{\underline{\underline{\pmb{\blue{\sf{SolutioN}}}}}}}$

$\begin{gathered} \\ \qquad{\rule{150pt}{1pt}} \end{gathered}$

${\large{\underline{\pmb{\frak{Calculating\:Area}}}}}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{Cost\:of\:flooring=Area \times Cost\:per\:meter}}}}}}$

${}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{560=Area \times 8}}}}}}$

${}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{Area=\dfrac{560}{8}}}}}}}$

${}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{Area=\cancel\dfrac{560}{8}}}}}}}$

${}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{Area=70}}}}}}$

${}$

${\qquad{\quad{\normalsize{\therefore{\underline{\boxed{\sf{\purple{Area\:of\:floor=70m^2}}}}}}}}}$

$\begin{gathered} \\ \qquad{\rule{150pt}{1pt}} \end{gathered}$  

${\large{\underline{\pmb{\frak{Calculating\:breadth}}}}}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{Area{\:Rectangle}=l \times b}}}}}}$

${}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{70=10 \times b}}}}}}$

${}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{b=\dfrac{70}{10}}}}}}}$

${}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{b=\cancel\dfrac{70}{10}}}}}}}$

${}$

${\qquad{\quad{\normalsize{\longmapsto{\sf{b=7}}}}}}$

${}$

${\qquad{\quad{\normalsize{\therefore{\underline{\boxed{\sf{\purple{Breadth\:of\:floor=7\:meters}}}}}}}}}$

$\begin{gathered} \\ \qquad{\rule{150pt}{1pt}} \end{gathered}$

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\pmb{\frak{Therefore}}}}}$

• Breadth of given floor is 7 meters

$\begin{gathered} \\ {\underline{\rule{200pt}{7pt}}} \end{gathered}$