Question #29f58

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Question #29f58

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Answer 1 · 2017-09-14T03:40:33

The width of the plot is $187.5 f t$ $187.5 ft$
The length is $562.5 f t$ $562.5 ft$

Explanation:

if you were to walk around this plot of land, you would need to walk the following distances:

$1 \times w$ $1xxw$ , the width of the first short side,
$3 \times w$ $3xxw$ , the length of the first long side,
$1 \times w$ $1xxw$ , the width of the 2nd short side,
$3 \times w$ $3xxw$ , the length of the 2nd long side.

And then you are back to add up all the distances:

$1 w + 3 w + 1 w + 3 w = 8 w$ $1w+3w+1w+3w=8w$ , which we are told is $1500 f t$ $1500 ft$

So, $8 w = 1500 f t$ $8w=1500ft$

$w = \frac{1500 f t}{8} = 187.5 f t$ $w=(1500ft)/8=187.5ft$ for the width

and $3 w = 3 (187.5 f t) = 562.5 f t$ $3w=3(187.5ft)=562.5ft$ , which is the length.

And if you add up all those distances you walked above,

$1 w + 3 w + 1 w + 3 w = 187.5 + 562.5 + 187.5 + 562.5 = 1500$ $1w+3w+1w+3w=187.5+562.5+187.5+562.5 =1500$

$1500 = 1500$ $1500=1500$ to check.

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Question #29f58

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