Question

A square with one side length is represented by the expression 4(2x+3)+16+8x. 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 the expressions should contain only two terms.

Answer 1

Answer:

The other sides of the square are

8x+12+16+8x,(8x+8x)+(12+16) and 16x+28  

Step-by-step explanation:

Square:

1. The all sides of a square equal.
2. The sum of four angles is 360°.
3. The diagonals bisect each other.
4. The length of diagonals are equal.

Distributive property:

a(b+c)= ab+ac

Commutative property:

a+b= b+a

Like terms:

Like terms are terms that have the same variables and the power of the variable also same.

Given the length of the side is

=4(2x+3)+16+8x

=4.2x+4.3+16+8x [ Apply distributive property]

=8x+12+16+8x

=(8x+8x)+(12+16)   [ separating like terms]

=16x+28                [Adding like terms]

The other sides of the square are

8x+12+16+8x,(8x+8x)+(12+16) and 16x+28