Question

part b
c. find the area of the square that is not covered by the triangle. select an exact value and then round to the nearest tenth. justify your reasoning.
the area not covered by the triangle is select choice the area of the square select choice the area of the triangle. so, a select choice (16 select choice √3) units² or about select choice units².

Explanation:

Step1: Recall the area - relationship formula

The area of the part of the square not covered by the triangle, $A$, is given by the formula $A = \text{Area of square}-\text{Area of triangle}$. So the area not covered by the triangle is equal to the area of the square minus the area of the triangle.
Let the area of the square be $S$ and the area of the triangle be $T$. Then $A=S - T$.

Step2: Fill in the blanks

The first blank should be "equal to" because $A = S - T$. The second blank should be "minus". And if we assume we have calculated the exact - value of the area as $(16-\sqrt{3})$ square units.
To round $(16 - \sqrt{3})$ to the nearest tenth:
We know that $\sqrt{3}\approx1.732$. Then $16-\sqrt{3}=16 - 1.732=14.268\approx14.3$.

Answer:

The area not covered by the triangle is equal to the area of the square minus the area of the triangle. So, $A=(16 - \sqrt{3})$ units² or about $14.3$ units².