1. The area of a triangle is given by the expression 1/2bh, where b is the base and h is the height of the triangle. What is its area if b = 4 and h = 3?
Given
Base (b) = 4
Height (h) = 3
Area (a) = ?
A = 1/2bh
A = (1/2)(4)(3)
A = (1/2)(12)
A = (12/6)
A = 6 square units
2. The volume of a rectangular prism is given by the expression LWH, where L, W, and H are the length, width, and height, respectively, of the prism. What is its volume if L = 1.2, W = 3, H = 2.5?
Given
Length (L) = 1.2
Width (W) = 3
Height (H) = 2.5
Volume (V) = ?
V = LWH
V = (1.2)(3)(2.5)
V = 9 cubic units
3. The temperature in degrees Fahrenheit is given by the formula 9/5°C + 32, where °C is the temperature in degrees Celsius. What is the temperature in degrees Fahrenheit if C is 125 degrees Celsius?
Given
Temperature in Celsius (°C) = 125 °C
Temperature in Fahrenheit (°F) = ?
°F = 9/5°C + 32
°F = 9/5(125) + 32
°F = 9(125)/5 + 32
°F = 1125/5 + 32
°F = 225 + 32
°F = 257 °F
4. The perimeter of a rectangle is given by the formula P = 2L + 2W, where L and W are the length and width of the rectangle, respectively. Find P when L = 4cm and W = 2cm.
Given
Length (L) = 4 cm
Width (W) = 2 cm
Perimeter (P) = ?
P = 2L + 2W
P = 2(4) + 2(2)
P = 8 + 4
P = 12 cm
5. The area of a square is equal to the square of its sides. Express the area, A, of the square in terms of its side s.
Answers & Comments
Answer:
PROBLEM SOLVING
A.)
1. h + 3 h; use h = 4
Let h = 4
h + 3h
(4) + 3(4)
4 + 12
= 16
2. (-2)(4 + 2s): use s = 3
Let s = 3
(-2)(4 + 2s)
(-2)(4 + 2(3))
(-2)(4 + 6)
(-2)(10)
= -20
3. 4n - n; use n = 8
Let n = 8
4n - n
4(8) - (8)
32 - 8
= 24
4. 2L + 2W + 2H; use L = 3, W = 1.5, and H = 4
Let L = 3, W = 1.5, and H = 4
2L + 2W + 2H
2(3) + 2(1.5) + 2(4)
6 + 3 + 8
= 17
5. x² + y²; use x = 3 and y = 4
Let x = 3 and y = 4
x² + y²
(3)² + (4)²
9 + 16
= 25
B.
1. The area of a triangle is given by the expression 1/2bh, where b is the base and h is the height of the triangle. What is its area if b = 4 and h = 3?
Given
Base (b) = 4
Height (h) = 3
Area (a) = ?
A = 1/2bh
A = (1/2)(4)(3)
A = (1/2)(12)
A = (12/6)
A = 6 square units
2. The volume of a rectangular prism is given by the expression LWH, where L, W, and H are the length, width, and height, respectively, of the prism. What is its volume if L = 1.2, W = 3, H = 2.5?
Given
Length (L) = 1.2
Width (W) = 3
Height (H) = 2.5
Volume (V) = ?
V = LWH
V = (1.2)(3)(2.5)
V = 9 cubic units
3. The temperature in degrees Fahrenheit is given by the formula 9/5°C + 32, where °C is the temperature in degrees Celsius. What is the temperature in degrees Fahrenheit if C is 125 degrees Celsius?
Given
Temperature in Celsius (°C) = 125 °C
Temperature in Fahrenheit (°F) = ?
°F = 9/5°C + 32
°F = 9/5(125) + 32
°F = 9(125)/5 + 32
°F = 1125/5 + 32
°F = 225 + 32
°F = 257 °F
4. The perimeter of a rectangle is given by the formula P = 2L + 2W, where L and W are the length and width of the rectangle, respectively. Find P when L = 4cm and W = 2cm.
Given
Length (L) = 4 cm
Width (W) = 2 cm
Perimeter (P) = ?
P = 2L + 2W
P = 2(4) + 2(2)
P = 8 + 4
P = 12 cm
5. The area of a square is equal to the square of its sides. Express the area, A, of the square in terms of its side s.
The equation would be
A = s²
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Answer:
6²
Step-by-step explanation:
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