Question

l
The ratio of the sides of two similar hexagons is 3:4. If the area of the smaller hexagon is 36 cm2, what is the area of the larger hexagon? (A
hexagon has 6 sides)

Answer 1

Answer:

64 cm²

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 3 : 4

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger hexagon then by proportion

$\frac{9}{16}$ = $\frac{36}{x}$ ( cross- multiply )

9x = 16 × 36 = 576 ( divide both sides by 9 )

x = 64

Area of larger hexagon = 64 cm²