Question

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. a. How many times larger is the area of the scaled copy compared to that of Triangle A? b. What scale factor did Lin apply to the Triangle A to create the copy?

Answer 1

Answer:

The answer is below

Step-by-step explanation:

a) Triangle A is attached in the image below.

The base of triangle A is 3 units and its height is 3 units. The area of a triangle  is given as:

Area = (1/2) × base × height

Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²

Area of the scaled copy = 72 unit²

Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16

Hence the scaled copy area is 16 times larger than that of triangle A.

b) For the scaled copy:

Area of the scaled copy = (1/2) × base × height = 72 unit²

base × height = 144

Since the base and height are equal

base² = 144

base = 12, also height = 12

Base of scaled copy = 12 = 4 × base of triangle A

Therefore the scale factor used is 4