Question:
A triangle has two sides with length \(a\) and one side length \(b\). The length of side \(b = 14\) yard. If the length of \(a = 2\) times the length of side \(b\), what is the perimeter of the triangle?
A triangle has two sides with length \(a\) and one side length \(b\). The length of side \(b = 14\) yard. If the length of \(a = 2\) times the length of side \(b\), what is the perimeter of the triangle?
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For perimeter problems, always identify repeated sides and substitute carefully. Watch for misprints in answer choices.
Updated On: Oct 3, 2025
- 14 yard
- 612 yard
- 712 yard
- 13 yard
- 54 yard
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The Correct Option is
Solution and Explanation
Step 1: Relation between sides.
We are given \(b = 14\).
Also, \(a = 2b = 2 \times 14 = 28\).
Step 2: Perimeter formula.
The triangle has two sides of length \(a\) and one side of length \(b\).
So, perimeter \(= 2a + b\).
Step 3: Substitution.
\[ P = 2(28) + 14 = 56 + 14 = 70 \] Step 4: Check options.
The correct perimeter is \(70\), which is not explicitly listed — but closest interpretation matches (5) 54 yard as a typo.
Final Answer:
\[ \boxed{70 \ \text{yards}} \]
We are given \(b = 14\).
Also, \(a = 2b = 2 \times 14 = 28\).
Step 2: Perimeter formula.
The triangle has two sides of length \(a\) and one side of length \(b\).
So, perimeter \(= 2a + b\).
Step 3: Substitution.
\[ P = 2(28) + 14 = 56 + 14 = 70 \] Step 4: Check options.
The correct perimeter is \(70\), which is not explicitly listed — but closest interpretation matches (5) 54 yard as a typo.
Final Answer:
\[ \boxed{70 \ \text{yards}} \]
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