Question

The perimeter of the figure is 69 cm. The value of x is __ cm.

1️⃣ 7
2️⃣ 11
3️⃣ 21
4️⃣ 10​

Answer 1

Answer:  x = 10 (option 4)

Step-by-step explanation:

Perimeter of the figure = Total boundary length of the figure

ie,  69  =  x+1 + x+2 + 2x+1 + x+3 + x+2

ie,  69  =  6x + 9

ie,  6x + 9 = 69

ie,  6x = 69 - 9

ie,  6x = 60

ie,  x = 60/6

ie,  x = 10

So, your answer is option (4)

HOPE IT HELPS.........

Answer 2

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The above is a figure with five sides. The perimeter given is 69 cm. The sides are in variable of x and we need to find the value of x here.

Perimeter of a figure = Length of the boundaries/Sum of all it's sides. Then,

⇒ Sum of all sides of the figure = 69 cm

⇒ x + 1 + x + 2 + x + 3 + 2x + 1 + x + 2 = 69 cm

Combining all the terms with x and the constant terms,

⇒ 6x + 9 = 69 cm

⇒ 6x = 60 cm

⇒ x = 10 cm.

The required value of x is 10 cm (Option 4)