Question

The perimeter of the triangle below is 97 cm.

What is the length of EF?
A. 18 cm
B. 23 cm
C. 30 cm
D. 32 cm

Answer 1

The length of EF = x = 18 cm

Option A is correct.

Explanation:

Ware given perimeter of triangle = 97 cm

We need to find length of EF = x = ?

The length of EG = x+7

The length of EF = x

The length of GF = 3x

The formula used is:
`Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle`

Putting values and finding x i.e length of EF

`Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=(90)/(5)\\x=18 \ cm`

So, value of x=18 cm

The length of EF = x = 18 cm

Option A is correct.