Question

This makes no sense to me, I used the formula and it still gave me the wrong answer.

Answer 1

48

Explanation:

27÷9÷1/2=6

12/9× 6=8

1/2×12x8=48

Answer 2

Area = 48 cm²

Explanation:

given similar triangles with sides in ratio a : b , then

ratio of areas = a² : b²

here ratio of corresponding sides = 9 : 12 = 3 : 4

ratio of areas = 3² : 4² = 9 : 16

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

`(ratio)/(area)`

`(9)/(27)` =
`(16)/(x)` ( cross- multiply )

9x = 27 × 16 = 432 ( divide both sides by 9 )

x = 48

thus Area = 48 cm²