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The Smith family is shopping for a new car and they are basing their decision on color and style. Explain how many color choices and how many style choices they might have if there are 8 possible outcomes. Justify your answer.
Answers
Step-by-step explanation:
Length is 15 m.
Breadth is 13 m.
Step-by-step explanation:
Given:-
Area of rectangular playground is 195 m².
To find:-
Length and breadth of rectangular playground
Solution:-
Let, Breadth of rectangular playground be x.
And Length of rectangular playground be x + 2. [We take length be x + 2 because it is given that length is larger than it's breadth by 2m ]
\boxed{\sf \bold{Area \: of \: rectangle = Length \times Breadth}}
Areaofrectangle=Length×Breadth
Put, Length, Breadth and area of rectangular playground in formula :
\longrightarrow⟶ (x + 2) × x = 195
\longrightarrow⟶ x² + 2x = 195
\longrightarrow⟶ x² + 2x - 195 = 0
\longrightarrow⟶ x² + 15x - 13x - 195 = 0
\longrightarrow⟶ x(x + 15) - 13(x + 15) = 0
\longrightarrow⟶ (x + 15) (x - 13) = 0
____
• x + 15 = 0
x = -15
• x - 13 = 0
x = 13
Breadth cannot be negative. So, Breadth of rectangular playground is 13 m
And We have also taken, Length be x + 2 = 13 + 2 = 15. Thus, Length of rectangular playground is 15 m.
Answer:
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Step-by-step explanation:
The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.