The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

Mathematics

2 answers:

OleMash [197]3 years ago

5 0

Answer:

Hello! answer: area is 6 cm2

Step-by-step explanation:

Triangle area formula: base × height ÷ 2 or base × height × 1/2 so...

12 × 16 = 192 192 ÷ 2 = 96

12 ÷ 4 = 3

16 ÷ 4 = 4

3 × 4 = 12 12 ÷ 2 = 6 therefore the area is 6 hope that helps!

HACTEHA [7]3 years ago

5 0

Answer:

6 cm²

Step-by-step explanation:

Given the sides of 2 similar figures in the ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 3 : 12 = 1 : 4

ratio of areas = 1² : 4² = 1 : 16

That is the area of the larger polygon is 16 times the smaller, so

area of smaller polygon = 96 ÷ 16 = 6 cm²

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