Question

The perimeter of this shape is 100cm.
Find the length of the longest side.

Answer 1

Answer:

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Answer 2

Given

Perimeter of triangle = 100 cm.

Sides are given as (5x - 9), (x), (2x + 5)

To find

Length of longest side.

Solution

Here, 3 sides of triangle are :

➝ Side₁ = (5x - 9) cm

➝ Side₂ = x cm

➝ Side₃ = (2x + 5) cm.

We know that,

➥ Perimeter of ∆ = Sum of 3 sides

Putting values :

⟼ 100 = (5x - 9) + x + (2x + 5)

⟼ 100 = 5x - 9 + x + 2x + 5

⟼ 100 = 8x - 4

⟼ 8x = 100 + 4

⟼ 8x = 104

⟼ x = 104/8

⟼ x = 13

Now finding lengths of sides of ∆

⟶ 1st side = 5x - 9 = 5(13) - 9 = 65 - 9 = 56

⟶ Second side = x = 13 cm.

⟶ 3rd side = 2x + 5 = 2(13) + 5 = 26 + 5 = 31

Here, Side₃ > Side₂ > Side₁

Therefore,

Length of longest side of ∆ is 56 cm.