Lin created a scaled copy of Triangle A with an area of 72 square units. How many times larger is the area of the scaled copy co

Question

Mandarinka

3 months ago

11

Lin created a scaled copy of Triangle A with an area of 72 square units. How many times larger is the area of the scaled copy co

mpared to that of Triangle A

Mathematics

2 answers:

PIT_PIT [12.4K] · Answer 1 · 2026-02-20T18:57:51+03:00

Answer:

The question appears to be incomplete, here’s a possible interpretation of the full question:

Here is Triangle A. Lin produced a scaled version of Triangle A with an area of 72 square units. What scale factor was used by Lin to create this copy? Recall: A=1/2bh

a) 4

b) 8

c) 16

Answer:

Scale factor = 16

Step-by-step explanation:

Based on the diagram provided, the triangle was drawn on graph paper, where each grid equals 1 unit. Thus, the dimensions of Triangle A derived from the diagram are:

Base = 3 units

Height = 3 units

To find the scale factor associated with the area of the triangle after scaling, we first calculate the area of the original triangle.

Area of Triangle = 1/2 (base × height)

Area of Triangle = 0.5 × 3 × 3 = 4.5 square units

Consequently,

Area of the original triangle = 4.5 square units

Area of the scaled triangle = 72 square units

Since the area of the scaled triangle exceeds that of the original, the scale factor simply reflects how many times the area was increased from the original triangle to the scaled one, calculated as:

Scale factor = (scaled triangle) ÷ (original triangle)

Scale factor = 72 ÷ 4.5 = 16