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jekas [21]
4 years ago
5

The area of a rectangular fountain is (x^2 + 12x +20) feet squared. The width is (x + 2) feet.

Mathematics
1 answer:
n200080 [17]4 years ago
5 0
Part A:
The total area = x² + 12x + 20 = (x+2)(x+10)
<span>The width = x+2
∴ Length = area / width = </span>[ <span>(x+2)(x+10) ] / (x+2) = x+10

Part B: </span>
<span>A 2-foot walkway is built around the fountain
</span>
<span>∴ The width = (x+2) + 2 + 2 = x + 6
The length = (x+10) + 2 + 2 = x +14

Part C:
</span><span>the total area covered by the fountain and walkway. </span><span>
   = (x+6)(x+14)
   = x² + 20 x + 84

See the attache figure for more explanation

</span>

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