Question

PleasePlwaee help i’m stuck Thanks :)

Answer 1

26.6 m

Explanation:

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

ratio of areas = a² : b²

Here the ratio of areas = 16 : 25 , thus

ratio of perimeter =
`√(16)` :
`√(25)` = 4 : 5

let x be the required perimeter then using proportion

`(4)/(21.3)` =
`(5)/(x)` ( cross- multiply )

4x = 106.5 ( divide both sides by 4 )

x = 26.6 ( to the nearest tenth )

Perimeter of figure is 26.6 m