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A picture frame consists of two rectangular strips of wood, each having a width of 1 inch on all sides. If the area of the inner light gray strip is 100 in^2, then compute the area of the outer dark gray strip in square inches. 

 Dec 6, 2018
edited by Guest  Dec 6, 2018
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For the light gray frame of width 1

2 x l x 1      +  2 x w x1  = area   = 100 

 2l = 100- 2w

   now increase l and w by 2 each

 

2(l+2) x 1  + 2(w+2) x 1 = ?

2l + 4 + 2w +4 =?                                    sub 2l = 100-2w

100-2w + 4 + 2w +4 =?

100+8 = 108 sq inches

 Dec 6, 2018
edited by Guest  Dec 6, 2018

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