GEOMETRY HONORS
QUIZ- BASIC AREA
NAME:
DATE:
Answer each question. Place final answers on the lines provided. Diagrams are not drawn
to scale. Leave answers in simplest radical form, simplified rational form or in terms of 𝜋. Don’t
forget labels!!!!
1) Find the area of an isosceles triangle with a base of 16 and a perimeter of 36.
_____________________
2) Find the area of the unshaded region of the trapezoid below. _________________
3) If a rhombus has diagonals measuring 60 and 32, find the height of the rhombus. You
will get a crazy answer….It’s okay….Leave it as an improper fraction.
____________________
4) Find the area of the composite figure.
___________________
5) A rectangular garden measures 10 ft by 24 ft. It is surrounded by a sidewalk that is
3 ft wide. Find the area of the sidewalk. (HINT: DRAW IT OUT!!!)
___________________
6)
Area = ___________
Perimeter = _________________
7) Given square ABCD and circle A. Find the area of the shaded region. Leave answers
in terms on 𝜋. _______________
8)Find the area of the shaded region.
________________________
9) Find the area of Cayden’s Birthday Cake!!! ______________________
10)Find the area of the shaded region. Leave answers in terms on 𝜋. __________________
11) The area of the largest triangle is ___________________ .
Bonus Point: Can you find x??? _______________
12)Find the area of the rhombus if the perimeter is 40. Write your answer in simplest radical
form.
________________
13)Find the area of an equilateral triangle that has a perimeter of 54 inches.
__________________
14) Find the area of the shaded region. Leave answers in terms on 𝜋. ________________
Bonus: MUST SHOW ALL WORK!!! Worth 2 points each
A) The square below measures 19 inches on each side. Find the exact area of the
shaded region.
_____________________
B) A square has a side length of (2x+5) cm. If the side length is multiplied by 5, what is
the area of the new square? ________________________
C) A rectangle has a perimeter of (26x + 16) cm and an area of (42x 2 +51x + 15) cm2.
Find the dimensions of the rectangle in terms of x. ________________________________
Mixed Answers: 90π, 125.6, 225π, 706.5, 24π, 40π, 226.9, 75.4, 60π, 282.6, 188.4, 72.25π