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SAT Math Geometry and Trigonometry Hard Practice Question

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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake

Shortcut used: Similar figure perimeters scale linearly by the side-length scale factor.

Solve in 3 steps:

Fix the shape.
Choose the matching formula.
Substitute values with units.

Common mistake: Do not use area formula when perimeter or volume is asked.

Question 5 Multiple Choice Question

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Question

Two similar triangles have corresponding side lengths 6 and 15. If the smaller triangle has perimeter 28, what is the perimeter of the larger triangle?

Explanation

Correct Answer: C

ANSWER

Correct Answer: C

Method / Topic: Geometry and Trigonometry

The scale factor is 15/6 = 2.5. The larger perimeter is 28 × 2.5 = 70.

Why this answer is correct

The answer uses the formula that matches the figure and target quantity.

Short Explanation

The scale factor is 15/6 = 2.5. The larger perimeter is 28 × 2.5 = 70.

Detailed Explanation

Question

Two similar triangles have corresponding side lengths 6 and 15. If the smaller triangle has perimeter 28, what is the perimeter of the larger triangle?

ANSWER

Correct Answer: C

Method / Topic: Geometry and Trigonometry

For similar figures, perimeters scale by the same factor as corresponding side lengths. The scale factor from the smaller triangle to the larger triangle is 15 ÷ 6 = 2.5, so the larger perimeter is 28 × 2.5 = 70.

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Question 5

Hard Marks: 1.0 Practice Question

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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake

Shortcut used: Similar figure perimeters scale linearly by the side-length scale factor.

Solve in 3 steps:

Fix the shape.
Choose the matching formula.
Substitute values with units.

Common mistake: Do not use area formula when perimeter or volume is asked.

Question

Two similar triangles have corresponding side lengths 6 and 15. If the smaller triangle has perimeter 28, what is the perimeter of the larger triangle?

Explanation

Correct Answer: C

ANSWER

Correct Answer: C

Method / Topic: Geometry and Trigonometry

The scale factor is 15/6 = 2.5. The larger perimeter is 28 × 2.5 = 70.

Why this answer is correct

The answer uses the formula that matches the figure and target quantity.

Short Explanation

The scale factor is 15/6 = 2.5. The larger perimeter is 28 × 2.5 = 70.

Detailed Explanation

Question

Two similar triangles have corresponding side lengths 6 and 15. If the smaller triangle has perimeter 28, what is the perimeter of the larger triangle?

ANSWER

Correct Answer: C

Method / Topic: Geometry and Trigonometry

For similar figures, perimeters scale by the same factor as corresponding side lengths. The scale factor from the smaller triangle to the larger triangle is 15 ÷ 6 = 2.5, so the larger perimeter is 28 × 2.5 = 70.

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