File - Waller Junior High Math

Transcription

File - Waller Junior High Math
Name:
1.
Date:
Period:
Perimeter and Area STAAR Practice
6.8B, 6.8C, 6.8D
The area of the parallelogram shown below can be
2. A triangular glass panel has an area of 48 square
found by reshaping it into a rectangle with what
feet. If it has a height of 8 feet, then how long is its
dimensions?
base?
F
6 ft
G 8 ft
H 12 ft
A length of 6 units, width of 5 units
B
length of 9 units, width of 5 units
C
length of 10 units, width of 4 units
J
24 ft
D length of 10 units, width of 5 units
3.
When a rectangle is cut diagonally, two congruent
right triangles are formed. Which expression shows
how to use the area of the rectangle to find the area
of one of the right triangles?
4.
The dimensions of a grassy section at a park are
shown.
What is the area of the grassy section, in square
meters?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place
value.
A
B
C
D
5.
6•4
•6•4
12 • 4
• 12 • 4
Which equation can be
used to find the area of the
parallelogram?
A A = 3x(x + 4)
B
C
D
A = 3x + (x + 4)
A=
A=
1
2
1
2
x (x + 4)
[3x – (x + 4)]
6.
What is the area of each of the two triangles formed
from cutting a 4-foot by 4-foot square diagonally?
F
4 ft 2
G 8 ft 2
H 16 ft 2
J
32 ft 2
7.
By copying and rotating the triangle shown, a
parallelogram results. Using what you know about
the area of a parallelogram, what is the area of the
original triangle?
8.
Which describes the dimensions of the rectangle
that can be formed from reshaping the
parallelogram?
F
5 2
A 10 in
8
1 2
B 11 in
4
1 2
C 20 in
4
1 2
D 21 in
4
9.
Francis places a frame that is
1
-inch wide around the
2
picture shown. What is the
area of the picture with the
frame?
5 cm by 4 cm
G 5 cm by 5 cm
H 6 cm by 5 cm
J
10.
6 cm by 4 cm
Which shape CANNOT be cut diagonally to form two
congruent triangles?
F
A 378.25 in2
B
380 in2
C
379.25 in2
G
D 399 in2
H
J
11.
Which represent pairs of possible dimensions for a
rectangle with an area of 18 square feet?
A 2 by 12, 1 by 24
12.
On a map, a trapezoidal piece of farmland has base
lengths of 1.25 inches and 1 inch, and a height of 1.1
inches. The scale on the map is 1 inch = 100 yards.
What is the actual area of the farmland?
1.2375 yd2
B
18 by 1, 9 by 2, 6 by 3
F
C
3 by 4, 2 by 6
G 11,000 yd2
D 8 by 3, 6 by 4, 8 by 2
H 12,375 yd2
J
12,500 yd2
13. By copying and rotating trapezoid PQRS, a rectangle
is formed. Use your knowledge of rectangles to
determine the area of the original trapezoid, in
square units.
14.
On a map, Fenton County is in the shape of a
parallelogram with a base length of 0.5 inch and a
height of 1 inch. The scale on the map is 0.5 inch =
50 miles. Which equation can be used to find the
actual area of Fenton County?
F
A = 0.5 • 1
G A = 25 • 50
H A = 50 • 100
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place
value.
15. What is the area of each of the two triangles formed
from cutting an 8-meter by 10-meter rectangle
diagonally?
A 10 m2
J
16.
A = 0.5 • 50
The area of a rectangle is given by the formula
A = ℓw. Which shows how to modify this formula to
find the area of a parallelogram?
F
A = ℓw
2
B
20 m
C
40 m2
D 80 m2
G A = ℓw
H A = ℓw
J
A = 2 ℓw
17.
The table shows the length and width of different
rectangles. Which two rectangles have the same
area?
Rectangle Length (cm) Width (cm)
1
7.8
2.4
2
6.3
3.2
3
7.7
2.9
4
10.4
1.8
A Rectangles 1 and 2
B
Rectangles 1 and 4
C
Rectangles 2 and 3
D Rectangles 2 and 4
19. A pool rack is
approximately the
shape of an
equilateral triangle.
Which equation can be
used to find the height
of the triangle, if its
area is 57.3 square
inches?
A
h = 57.3 ÷ 11.5
B
h = 11.5 • 3
C
D
h=
57.3
11.5 
1
2
h = 57.3 ÷ 23
18.
A mosaic tile is shown. Dan
wants to cover a 600-square-inch
area. How many mosaic tiles
does Dan need?
F
25
G 30
H 60
J
120