SOLUTION: a square and a rectangle have the same perimeter. the length of the rectangle is 4cm less than twice the side of the square, and the width of the rectangle is 6cm less than the sid

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Question 278169: a square and a rectangle have the same perimeter. the length of the rectangle is 4cm less than twice the side of the square, and the width of the rectangle is 6cm less than the side of the square. find the perimeter of each figure.
Answer by subbbu(3) About Me  (Show Source):
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a square and a rectangle have the same perimeter. the length of the rectangle is 4cm less than twice the side of the square, and the width of the rectangle is 6cm less than the side of the square. find the perimeter of each figure
Let S be the side of the square and l,b be the dimensions of rectangle.
perimeters are same.
4s =2(l+b)
l =2s-4.
b =s-6.
substitute in Eq1.
4s =2(2s-4+s-6).
4s =2(3s-10.)
4s =6s-20.
2s =20.
s =10.
l=2s-4 =2*10-4 =16.
b =s-6 =10-6 =4.perimeter ofsquare =4s =4*10=40squnits.
perimeter of rectangl e =2(l+b)=2(16+4)
=40sq.units.