Review for 11.1-6 Test

1.    The length of a rectangle is 12 cm less than three times its width.  The area of the rectangle is 231 cm2.  Find the length and width.

 

2.   Two legs of a right triangle measure 20 cm  and 21 cm.  Find the length of the altitude to the hypotenuse of the triangle.

 
3.  Given the trapezoid shown find the area

4.   The area of a rhombus is 64 sq. cm.  Find the lengths of the diagonals if they are in a ratio of 2:1.

 
5.         Find the area of an equilateral triangle whose side length  is inches.

 
6          Find the area of a square whose perimeter measures cm.

 

7.         Find the area of DXYZ if the coordinates are X= (-6,11), Y= (13,4) and Z = (1,-2).

 
8.     Find the area of the region formed by a square with a side length of 6 and an equilateral triangle with the same side length.

9.  Find the area of the triangle shown.

Problem changed from you sheet due to difficulty level.
10.  If the area of a sector is when the length of the sector's arc = 40°, find the circumference of the circle.

 

11.  Find the area of a regular octagon with a side length of 10.

12.  Find the area of a regular hexagon whose apothem measures 6.

13.  Find the area of the shaded region.

14.  Find the area of the shaded region.