Name: ____________________________
Algebraic Expressions – Geometry
1 Find the perimeter of quadrilateral ABCD in
terms of x. Write the answer in standard
form.
Date: ________
PreAlgebra
5
Topic 4
Sheet #10
Rectangle LMNP is shown below.
What is the perimeter, in meters, of rectangle
LMNP?
Answer __________
2
What is the perimeter of the figure in
simplest form?
Answer __________ meters
6
What is an expression for the perimeter of this
rectangle?
Answer ______________
3
What is the perimeter of the rectangle in
simplest form?
Answer ______________
7
Answer __________
4
Each side of an equilateral triangle measures
3x 2  5 inches. What is the perimeter of this
triangle?
What is the perimeter of the figure in
simplest form?
Answer ______________
Answer ______________
8
A square has side length x – 2. Find the
perimeter in terms of x in two ways.
11 The perimeter of an equilateral triangle is
12x – 3.3. What is the length of each side of
the triangle?
Answer __________
12 The perimeter of an equilateral triangle is
3.6𝑥 − 15. What is the length of one side of
the triangle?
Answer __________
9
An equilateral triangle has side length x – 2.
Find the perimeter in terms of x in two ways.
13 The perimeter of an equilateral triangle is
12𝑥 + 24. What is the length of one side of
the triangle?
Answer __________
14 If the perimeter of a square is 16g + 40
inches, what is the length, in inches, of each
side of the square?
Answer __________
15 If the perimeter of a square is 20g - 35 inches,
what is the length, in inches, of each side of
the square?
10 If the perimeter of a square is 14g + 28
inches, what is the length, in inches, of each
side of the square?
A
0.5g + 1
B
g+2
C
2g + 4
D
3.5g + 7
Answer __________
16
Six friends visited a museum to see the new
holograms exhibit. The group paid for admission
to the museum and $12 for parking. The total cost
of the visit can be represented by the expression
$6x + $12. What was the cost, in terms of x, of the
visit for one person?
Answer __________
Name: ____________________________
Algebraic Expressions – Geometry
1 Find the area of each rectangle with given
length and width:
4
Topic 4
Date: ________
Sheet #11
PreAlgebra
The drawing of the garden below has a total
area of (15 x  18) square feet. Find possible
dimensions of the garden.
length: _________ width: ________
5
2
The area of a rectangular dance floor is
4 x  8 square units. Factor 4 x  8 to find
possible dimensions of the dance floor.
The area of a rectangle equals the length times the
width. Which expression equals the area of this
rectangle?
length: _________ width: ________
6
3
A
x  3y  2
B
x  6y
C
3xy  2
D
3xy  6 y
Find the dimensions (length and width) of the
following rectangles
The area of a rectangular porch is 9 x  18
square units. Factor 9 x  18 to find possible
dimensions of the porch.
length: _________ width: ________
7
Sandra drew a rectangle that was w inches
wide. The expression 2(2𝑤) + 2(𝑤)
represents the perimeter of the rectangle that
Sandra drew. Which statement relates the
perimeter to the width of the rectangle?
A
The perimeter is 6 inches more than the width.
B
The perimeter is 6 times the width.
C
The perimeter is 2 inches more than the width.
D
The perimeter is 2 times the width.
A.
length: _________ width: ________
B.
length: _________ width: ________
8
Express each algebraic expression in
simplest form.
Part A
5( x  3)  x
Part B
2( x  1)  3x
Part D
(3x  2)  2( x  4)
Part E
(7 x  2)  (3x  3)
9
Two congruent sides of an isosceles triangle each
measure 3b 2  2 centimeters. The third side
measures 4b  5 centimeters. What is the
perimeter, in centimeters, of this triangle?
A
7b 2  3 centimeters
B
10b 2  1 centimeters
C
3b 2  4b  3 centimeters
D
6b 2  4b  1 centimeters
10 Rewrite in simplest form.
3(6a  4b)  2a  4(b  2a)
Part C
5( x  4)  (2 x  7)
Part F
2
1
1
2a  b  4 a  b
3
2
6
Simplified form: _________
Write the simplified expression in factored
form.
Factored form: _________