Question

Q) A swimming pool is 41 meter long and covers an area of 1066 sq. meter. What is the breadth of the swimming pool?​

Answer 1

Given that,

l=20m

b=15m

d=4m (d-h)

We know that,

Area for coner its floor2d(l+b)+lb

=2(4)(20+15)+(20×15)

=8×35+300

=280+300

=580m

2

Rate of coner its floor Rs.12/m

2

∴ Total cost of coner its floor =580×12

Rs.6960

Then,

We get Rs.6960

hope it helps you

Answer 2

Answer:

$\begin{gathered}{\large{\textsf{\textbf{\underline{\underline{\purple{Given :}}}}}}}\end{gathered}$

• $\leadsto$ Lenght of swimming pool = 41 meter
• $\leadsto$ Area of swimming pool = 1066 sq. meter.

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\large{\textsf{\textbf{\underline{\underline{\purple{To Find :}}}}}}}\end{gathered}$

• $\leadsto$ Breadth of swimming pool

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\large{\textsf{\textbf{\underline{\underline{\purple{Using Formula :}}}}}}}\end{gathered}$

$\dag{\underline{\boxed{\sf{Area \: of \: Rectangle = Length \times Breadth}}}}$

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\large{\textsf{\textbf{\underline{\underline{\purple{Solution :}}}}}}}\end{gathered}$

• Let the breadth of swimming pool be x m.

According to the question

${: \longmapsto{\sf{Area \: of \: Rectangle = Length \times Breadth}}}$

${: \longmapsto{\sf{1066= 41\times x}}}$

${: \longmapsto{\sf{1066= 41x}}}$

${: \longmapsto{\sf{\dfrac{1066}{41} = x}}}$

${: \longmapsto{\sf{\cancel{\dfrac{1066}{41}} = x}}}$

${: \longmapsto{\sf{26= x}}}$

$\bigstar{\underline{\boxed{\sf{Breadth = 26 m}}}}$

${\therefore{\underline{\underline{\sf{\red{The \: breadth \: of \: swimming \: pool \: is \: 26 \: m.}}}}}}$

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\large{\textsf{\textbf{\underline{\underline{\purple{Verification :}}}}}}}\end{gathered}$

Checking our answer

${: \longmapsto{\sf{Area \: of \: Rectangle = Length \times Breadth}}}$

• Substituting the values

${: \longmapsto{\sf{1066 \: {cm}^{2} = 41 \times 26} \: {{cm}^{2}}}}$

${: \longmapsto{\sf{1066 \: {cm}^{2} = 1066 \: {cm}^{2}}}}$

$\bigstar{\underline{\boxed{\sf{LHS=RHS}}}}$

${\therefore{\underline{\underline{\sf{\red{Hence \: Verified. {\checkmark}}}}}}}$

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\large{\textsf{\textbf{\underline{\underline{\purple{Diagram :}}}}}}}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} {\begin{gathered} \sf{26 \:m}\huge\boxed{ \begin{array}{cc} \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \end{array}} \\ \: \: \: \: \: \sf{41 \: m}\end{gathered}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

• Diagram of Swimming pool

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 41 m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 26 m}\put(-0.5,-0.4){\bf }\put(-0.5,3.2){\bf }\put(5.3,-0.4){\bf }\put(5.3,3.2){\bf }\end{picture}$

• See this diagram from website Brainly.in.

$\begin{gathered}\end{gathered}$

$\begin{gathered}{\large{\textsf{\textbf{\underline{\underline{\purple{Learn More:}}}}}}}\end{gathered}$

$\dag{\underline{\underline{\sf{\red{Properties\: of \: rectangle..}}}}}$

• $\dashrightarrow$ Opposite sides of rectangle are parallel and equal to each other
• $\dashrightarrow$ Each interior angle of rectangle is 90°
• $\dashrightarrow$ The diagonals of rectangle bisect each other
• $\dashrightarrow$ Both the diagonals of rectangle have the same length