Question

A picture is 35 cm long and 20 cm wide.it is surrounded by a wooden frame of width 2.5 cm all round. Find the area of the wooden frame

Answer 1

Answer: The area of the wooden frame is 300 cm^2.

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Answer 2

$\setlength{\unitlength}{1.6mm}\begin{picture}(30,20)\linethickness{0.1mm}\put(0,0){\line(0,1){30}}\put(0,0){\line(1,0){30}}\put(30,0){\line(0,1){30}}\put(0,30){\line(1,0){30}}\put(-5,-5){\line(0,1){39}}\put(-5,-5){\line(1,0){39}}\put(34,-5){\line(0,1){39}}\put(-5,34.1){\line(1,0){39}}\put(10,20){photo}\put(13,-7){Frame}\end{picture}$

$\:\:$

$\red{\tt{Area\:of\: picture = l \times b }}$

$\red{\tt{\implies Area\:of\: picture = 35cm \times 20cm }}$

$\red{\tt{\implies Area\:of\: picture = {700cm}^{2} }}$

$\:\:$

$\setlength{\unitlength}{1.6mm}\begin{picture}(30,20)\linethickness{1mm}\put(0,0){\line(1,0){65}}\end{picture}$

$\:\:$

$\blue{\tt{New\: length\: and\: breadth = 35cm + 5cm \: and \: 20cm + 5cm}}$

$\blue{\tt{New\: length\: and\: breadth = 40cm \:and \: 25cm }}$

$\:\:$

$\setlength{\unitlength}{1.6mm}\begin{picture}(30,20)\linethickness{1mm}\put(0,0){\line(1,0){65}}\end{picture}$

$\:\:$

$\green{\tt{Area\:of\: picture\: with\: frame = l + 5cm \times b + 5cm }}$

$\green{\tt{\implies Area\:of\: picture\: with\: frame = 35cm + 5cm \times 20cm + 5cm }}$

$\green{\tt{\implies Area\:of\: picture\: with\: frame = 40cm \times 25cm }}$

$\green{\tt{\implies Area\:of\: picture\: with\: frame = {1000cm}^{2} }}$

$\:\:$

$\setlength{\unitlength}{1.6mm}\begin{picture}(30,20)\linethickness{1mm}\put(0,0){\line(1,0){65}}\end{picture}$

$\:\:$

$\orange{\tt{\implies Area\:of\: frame = {1000cm}^{2} - {700cm}^{2} }}$

$\orange{\tt{\implies Area\:of\: frame = {300cm}^{2} }}$