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Leokris [45]
3 years ago
5

An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters,

and the length of the path is 5 meters more than the width.
Which equation can be used to find the dimensions of the playground?

0.5(x)(x + 5) = 29
0.5(x)(x + 5) = 841
x2 + (x + 5)2 = 29
x2 + (x + 5)2 = 841

Mathematics
2 answers:
Rama09 [41]3 years ago
8 0

The <u>diagonal</u> of<u> rectangular</u> patio together with two <u>adjacent sides</u> of patio form <u>right triangle</u>.

Then by the Pythagorean theorem,

\text{Diagonal}^2=\text{(Side 1)}^2+\text{(Side 2)}^2.

Since

  • \text{Side 1}=x\ m;
  • \text{Side 2}=(x+5)\ m;
  • \text{Diagonal}=29\ m,

then

29^2=x^2+(x+5)^2,\\ \\x^2+(x+5)^2=841.

Answer: correct choice is D


photoshop1234 [79]3 years ago
7 0
The answer for this question is D 
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