Question

solve it #2
a. determine the weight of the square.
press \try it\ to see if the hanger is balanced.

weight of triangle (lb) | weight of square (lb)
1 |

try it

Explanation:

Step1: Analyze the hanger balance

Let the weight of the square be \( s \) lb and the weight of the triangle be \( t = 1 \) lb. From the hanger, the left side has 3 squares and 2 triangles, and the right side has 1 square and 5 triangles. So the equation is \( 3s + 2t = s + 5t \).

Step2: Substitute \( t = 1 \) into the equation

Substitute \( t = 1 \) into \( 3s + 2t = s + 5t \), we get \( 3s + 2\times1 = s + 5\times1 \).

Step3: Simplify the equation

Simplify the equation: \( 3s + 2 = s + 5 \). Subtract \( s \) from both sides: \( 2s + 2 = 5 \). Then subtract 2 from both sides: \( 2s = 3 \).

Step4: Solve for \( s \)

Divide both sides by 2: \( s=\frac{3}{2}=1.5 \).

Answer:

1.5