REVIEW: AREA OF RECTANGLES AND SQUARES
Area of a Parallelogram:
GR4
A = bh
h
h
The area of a parallelogram
is equivalent to the area of
its corresponding rectangle.
b
b
Examples:
1) Find the area of the parallelogram.
2) Find the height h of the parallelogram.
A = 105 cm2
5 in
h
12 in
15 cm
Area of a Triangle = Area of a Parallelogram = Area of a Rectangle = bh
h
h
A = bh =
b
b
Examples:
5) Find the height h. Area = 36 cm2
3-4) Find the area of each triangle.
3)
4)
h
6 ft
5m
12 cm
8m
8 ft
1-6: FIND THE AREA OF EACH PARALLELOGRAM/TRIANGLE. Include correct units. Do
1)
2)
3)
4 in
10 m
16 m
9 in
9 ft
12 ft
4)
5)
6)
5 yd
12 cm
3 yd
9m
8 cm
4 yd
8m
7-9: Find the missing dimension in each.
Area = 20 m2
7)
8)
Area = 120 in2
h
9) Area = 30 ft2
h
8 in
8m
12 ft
b
10-15: Solve each equation for x.
10) 5x + 7 = 32
11) 3(x + 5) = 27
12) x − 4 = 9
13) 7x − 12 = 4x + 9
14) 5(x + 2) = 8(x − 4)
15) x + 2 = 7
17) (2x − 5)(x + 3)
18) (3x + 2)(4x − 3)
16-18: Multiply (FOIL)
16)
(x + 5)(x − 7)
19-23: Simplify by combining like terms.
19) 5x - 3y + 8x + 6y
22) −3x2 + 7 + 5xy − x2 − 9xy
20) 5x2 − 4x − 9x2 + 7x
21) 7a2 + 5ab − 3ab + a2
23) 5(2a + b) −4(a − 2b) + 3b − a
24-30: Plot and label each point on the coordinate plane. Write the letter next to the point.
24) A(4, 3)
25) B(5, 0)
26) C(-3, 5)
27) D(0, -4)
28) E(0, 0)
29) F(-5, -4)
30) G(4, -4)