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Aloiza [94]
2 years ago
12

You are building a brick patio. the length of the patio is (x+11) feet.

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
7 0

The expression that represents the width of the patio is (x+3) feet

<h3>Calculating area</h3>

From the question, we are to determine the width of the patio

The area of the patio = Length of the patio × Width of the patio

From the given information,

Length of the patio = (x+11) feet

Area of the patio = x^2+14x+33 = x²+14x+33

Putting the parameters into the formula,

x²+14x+33 = (x+11)  × Width of the patio

∴ Width of the patio = (x²+14x+33) / (x+11)

First, we will factor x²+14x+33

x²+14x+33

x²+11x+3x+33

x(x+11) +3(x+11)

(x+3)(x+11)

Thus,

Width of the patio = [(x+3)(x+11)] / (x+11)

∴ Width of the patio = (x+3) feet

Hence, the expression that represents the width of the patio is (x+3) feet

Learn more on Calculating area here: brainly.com/question/1729755

#SPJ1

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