Area of Parallelograms, trapezoids, and Triangles Review

What is the area of  $\Delta ABC$  where  $A\left(-1,4\right),$   $B\left(-1,10\right),$  and  $C\left(4,5\right)?$  

•  $12\ units^2$  

•  $15\ units^2$  

•  $24\ units^2$  

•  $30\ units^2$  

What is the area of parallelogram ABCD where  $A\left(1,2\right),$   $B\left(5,2\right),$   $C\left(7,5\right),$  and  $D\left(3,5\right)?$  

•  $6\ units^2$  

•  $12\ units^2$  

•  $16\ units^2$  

•  $24\ units^2$  

A triangle with side lengths of 3 cm, 4 cm, and 5 cm has an area of $6\ cm^2.$  

• True

• False

• Impossible to determine

A triangle with side lengths 5 ft, 12 ft, and 13 ft has an area of  $60\ ft^2.$  

• True

• False

• Impossible to determine

A square with the coordinates  $A\left(2,2\right),$   $B\left(4,4\right),$   $C\left(2,6\right),$  and  $D\left(0,4\right)$  has an area of ______ $units^2.$  

The are of the trapezoid is ________  $units^2.$  

The area of the triangle is ___________  $units^2.$  

The area of the triangle is _________  $units^2.$  

Which of the following are formulas used on rectangles? Select all that apply.

• 
  

  $A=\frac{1}{2}bh$
  

• $A=bh$

• $P=2l+2w$

• $A=\frac{1}{2}h\left(b_1+b_2\right)$

• $A=lw$

If a 10 cm diagonal forms a  $30\degree$  angle with the length of the rectangle, what is the area of the rectangle? 

•  $25\sqrt{3}\ cm^2$  

•  $50\ cm^2$  

•  $25\sqrt{2}\ cm^2$  

•  $60\ cm^2$