Welcome to the article A rectangular stained glass window measures a certain number of feet by a certain number of feet A clear glass border is constructed around the. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
If the width of the border is equal and was made from 7 feet² of clear glass , then the width of the border is 0.5 feet .
the border is = (2 sides) × (4 tall) × (w) on the long sides
and on the top and bottom will be = (2 sides) × (2 feet + 2w) × (w)
since the width of the border is made out of 7 square feet ,
So, adding together = 7 ;
we get ; 2×4×w + 2×(2 + 2w)w = 7 ;
⇒ 8w + 2(2w + 2w²) = 7 ;
⇒ 8w + 4w + 4w² = 7 ;
⇒ 4w² + 12w - 7 = 0
solving the above quadratic ,
We get ; w = 0.5 or w = -3.5 ;
Since the width of border cannot be negative ;
So ; w = 0.5 ft .
Therefore , the width of the border is 0.5 feet .
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The given question is incomplete , the complete question is
A rectangle stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. The width of the border is equal and was made out of 7 square feet of clear glass. What is the width of the border ?
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