Question

For what value of x is the perimeter of shape 186 cm?

Answer 1

Given, length of the given figure = (5x + 6)

And breadth of the given figure = (2x + 66)

∵ Perimeter of shape = 186 cm   ...[Given]

∴ 2 × (Length + Breadth) = 186

⇒ 2 × [(5x + 6) + (2x + 66)] = 186

⇒ 2 × [7x + 72] = 186

⇒ 14x + 144 = 186

⇒ 14x = 186 – 144

⇒ 14x = 42

⇒ x = `42/14`

∴ x = 3

Hence, the value of x is 3 cm.