Give an equation of to represent this situation. Solve for x. What are the three lengths of the triangle?

Question

The measures of three sides of a triangle can be represented by 2x, 3x-5, and 4x+2. The perimeter of the triangle is 65 inches.

Answer 1

2x+3x-5+4x+2=65, 9x-3=65, 9x=68, x=68/9=7 5/9 or about 7.56 inches.

The three lengths are 2x=15=15.11", 3x-5=17.66", 4x+2=32.22".

Comments

Thank you!! Can you help me with this one: The expression (4x²+6x)in.² represents the area of a rectangular region whose width is 2x in. explain the terms of the expression in the context of the area of the region.

 

 

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If the width is 2x then the length is the area/width=(4x^2+6x)/2x=2x(2x+3)/2x=2x+3.

This works because the area factorises and one of the factors happens to be 2x. The other factor of course is the length 2x+3. Both length and width are in inches so the product is square inches.

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Thanks!!