4. Four times the width of a certain rectangle exceeds thrice its length by four inches, and five times its length is ten more than its perimeter. Find the dimensions of the rectangle.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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4. Four times the width of a certain rectangle exceeds
thrice its length by four inches, and five times its length
is ten more than its perimeter. Find the dimensions of
the rectangle.
5. An aluminum alloy contains 20% magnesium and
5% aluminum. How many pounds of aluminum and of
magnesium must be mixed with 100 lb of the given
alloy to produce another alloy of 30% magnesium and
10% aluminum?
6. 188 is divided into two parts such that when the
greater part is divided by the smaller, the quotient is 4
and the remainder is 20. Find the 2 numbers
Transcribed Image Text:4. Four times the width of a certain rectangle exceeds thrice its length by four inches, and five times its length is ten more than its perimeter. Find the dimensions of the rectangle. 5. An aluminum alloy contains 20% magnesium and 5% aluminum. How many pounds of aluminum and of magnesium must be mixed with 100 lb of the given alloy to produce another alloy of 30% magnesium and 10% aluminum? 6. 188 is divided into two parts such that when the greater part is divided by the smaller, the quotient is 4 and the remainder is 20. Find the 2 numbers
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