Question

Need help please...
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Answer 1

Let that be x

• 20:x=6:8.5
• 20/x=6/8.5
• 20/x=12/17
• 12x=17(20)
• 12x=340
• x=340/12
• x=28.3ft

Answer 2

`\sf 28 (1)/(3) \:ft=28.3\:ft\:(nearest\:tenth)`

Explanation:

Given information:

• It takes Mr Kelly 6 strides to walk 20 ft.
• It takes Mr Kelly 8.5 strides to walk the other side of his house.

Let x be the unknown length of the other side of Mr Kelly's house.

To solve, set up a ratio with the given information and the defined unknown, then solve for x:

`\textsf{20 ft : 6 strides = x ft : 8.5 strides}`

`\implies \sf 20:6 = x:8.5`

`\implies \sf (20)/(6)=(x)/(8.5)`

`\implies \sf x=(20 \cdot 8.5)/(6)`

`\implies \sf x=(170)/(6)`

`\implies \sf x=28 (1)/(3) \:ft`

`\implies \sf x=28.3\:ft\:(nearest\:tenth)`

Therefore, the length of the other side of Mr Kelly's house that takes him 8.5 strides to walk is 28.3 ft (nearest tenth).