Activity 30 Practice
Name: __________________________________
In questions 1 and 2, find the area of each
parallelogram.
1)
2)
In questions 3 and 4, find the area of each
parallelogram. Express your answer in
simplest radical form.
3)
4)
Date: ___________________
5) The height of a parallelogram is three
times its base. If the area of the
parallelogram is 972 square inches, find
its height.
6) Find the area of a rectangle with a base
length of 10 cm and diagonal length of 15
cm. Express your answer in simplest
radical form.
7) The base of a triangle is four times its
height. If the area of the triangle is 242
square millimeters, find its height.
8) Find the perimeter of the following
shaded triangle. Give the exact perimeter.
Activity 30 Practice
Name: __________________________________
9) An equilateral triangle has side lengths
of 4√3 yards. Find its area. Express your
answer in simplest radical form.
10) In an isosceles triangle, the base is 6
feet long and the legs are each 7 feet
long. Find its area. Express your answer in
simplest radical form.
Date: ___________________
13) The diagonals of a rhombus measure
12cm and 18cm. Find its area.
14) Diagonal ̅̅̅̅
𝐴𝐶 of rectangle ABCD
creates ∠𝐴𝐶𝐷, the cosine of which is
12
13
. If
the lengths of the sides of rectangle ABCD
are all integers and the diagonal is 26 feet
long, what is the area of the rectangle?
11) A triangle has coordinates 𝐴(7, 6),
𝐵(9, 1), and 𝐶(−2, 1). What is the area of
the triangle?
15) The height and one base of a
trapezoid are 7 feet long and the other
base is 11 feet long. Find its area.
16) Each leg of a trapezoid is 5 yards
long, the perimeter is 30 yards and the
height is 4 yards. Find its area.
12) Find the area of a square inscribed in
a circle with a radius of 16mm.
Activity 30 Practice
Name: __________________________________
17) Find the area of figure DEFGHJKL.
Date: ___________________
In questions 21 and 22, find the area of
each rhombus.
21)
22)
18) The area of a rhombus is 84 in2 and
one diagonal is 12 inches. Find the length
of the other diagonal.
In questions 19 and 20, find the area of
each trapezoid.
19)
20)
23) A trapezoid has base lengths of 19.5
and 24.5 centimeters with an area of 154
cm2. What is the height of the trapezoid?
24) What is the perimeter of a square with
a diagonal measuring 2𝑥√2 units? Express
your answer in terms of x.
25) The length of one side of a rhombus is
𝑥 2 − 6. If the perimeter of the rhombus is
168 units, what is the value of x?