Question

35. A square with one side length represented by an expression is shown below.






2(3x + 1) + 10 + 14x
Use the properties of operations to write three different equivalent expressions to represent the lengths of the other three sides of the square. One of your expressions should contain only two terms.

Answer 1

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(i) 10x +6

(ii) 5x + 3

(iii) 60x + 36

Step-by-step explanation:

As you know that sides of a square are equal,

so, expression for other side should be equal to

2 ( 3x + 1 ) + 10 + 14x

=> 6x + 2 + 10 + 14x

=> 20x + 12

other equations can be

(i) 20x + 12 = 0

2 ( 10x + 6) = 0

10x + 6 = 0

(ii) 20x + 12 = 0

= 4 ( 5x + 3) = 0

= 5x + 3 = 0

(iii) 20x + 12 = 0

3 ( 20x + 12 = 0 )

60x + 36 = 0

Hence other three expressions can be :-

10x + 6 , 5x + 3 , 60x + 36