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Orlov [11]
3 years ago
9

. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way

Mathematics
1 answer:
Radda [10]3 years ago
4 0

Answer:

1.5m

Step-by-step explanation:

Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.

The new area thus becomes:

(12+2x)(16+2x) = 285

24x + 32x + 192 + 4x^2 = 285

4x^2 + 56x + 192 = 285

4x^2 + 56x + 192 - 285 =0

4x^2 + 56x -93 = 0

4x^2 + 62x - 6x - 93 = 0

2x( 2x + 31) - 3(2x + 31) = 0

(2x - 3)(2x + 31) = 0

This means x = 3/2 or -31/2

Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters

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A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
s2008m [1.1K]

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

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3 years ago
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Answer:

4 liters

Step-by-step explanation:

2 bottles of soda are left

each bottle of soda has 2 liters

so 2 x 2 =4

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Step-by-step explanation:

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