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fiasKO [112]
3 years ago
7

Six compared to 11 is the same as 84 compared to what number A.154 B.155 C. 145 D. 146

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

A

Step-by-step explanation:

\frac{6}{11}  =  \frac{84}{?}  \\  = 154

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Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

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3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

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The area of the path is given by:

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Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

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The two solutions are equivalent. The garden has dimensions 10m and 15m.

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