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

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Math Problem Analysis

Mathematical Concepts

Geometry
Scaling
Area Calculations

Formulas

Area scaling formula: new area = original area × scale factor^2

Theorems

Scaling Theorem: When a 2D shape is scaled by a factor k, the area increases by k^2

Suitable Grade Level

Grades 6-8