Math Problem Statement

2.8 Choose the best answer for each of the following. Type only the number and letter to the answer in the answer block, e.g., 3.1.5 D [6]

2.8.1 If a triangle is enlarged by factor 3, the area of the enlarged triangle will be … times bigger than the original triangle. (2)

A. 1

B. 3

C. 6

D. 9

2.8.2 If a square is enlarged by factor 2, the area of the enlarged square will be …… times bigger than the original square. (2)

A. 1

B. 2

C. 4

D. 8

E. 16

Solution

2.8.1 D
2.8.2 C

Would you like a detailed explanation, or have any questions about these answers?

Here are 5 related questions to explore further:

  1. What happens to the perimeter of a shape when it is enlarged by a factor?
  2. How is the area of a triangle calculated?
  3. If a rectangle is enlarged by factor 5, how does its area change?
  4. How does an enlargement factor affect the volume of 3D shapes?
  5. What is the difference between linear and area scaling?

Tip: When a shape's dimensions are scaled by a factor, the area scales by the square of that factor.

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Math Problem Analysis

Mathematical Concepts

Geometric Scaling
Area of Shapes
Scaling Factor

Formulas

Area of a triangle = 1/2 * base * height
Area of a square = side^2
Area scaling factor = (enlargement factor)^2

Theorems

Scaling Theorem

Suitable Grade Level

Grades 6-8

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