Question

a plan for a rectangular playground is drawn to a scale of 1:500 .The length of the playground is 25 cm in the plan. what is the actual length of the playground?​

Answer 1

Correct Question-:

• A plan for a rectangular playground is drawn to a scale of 1:500 .The length of the playground is 25 cm in the plan. what is the actual length of the playground?

AnswEr-:

• The actual length of Rectangular playground is 12500 cm or 125 m .

Explanation-:

Given -:

• A plan for a rectangular playground is drawn to a scale of 1:500.
• The length of the playground is 25 cm in the plan.

☆ Figure related to the question-:

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 25 cm}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large y cm}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

To Find -:

• The actual length of the playground .

Solution-:

Analysis-:

• The scale for this plan is 1 : 500.

This means that 1 cm on the plan represents 500 cm (or 5 m) in real life.

Then ,

• The length of Rectangular playground in real life ( or Actual) is -:

• $\implies {\pink{\sf{ 25 \times 500 }}}$
• $\implies {\pink{\sf{ 12500cm \: }}}$
• $\implies {\red{\sf{ As ,\: We \:know\: that\: -: }}}$
• $\implies {\red{\sf{ [100cm\: =\: 1m] }}}$
• $\implies {\pink{\sf{ 12500cm\:=\: 125m }}}$

Hence ,

• The actual length of Rectangular playground is 12500 cm or 125 m .

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