Question

No 9 plzz solve it....
If you can do no 8 do

If you can do the both do
But by step by step explanation i want​

Answer 1

Answer:

heya mate

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Answer 2

Answer:

1 m

Step-by-step explanation:

8.

Length of the room = 5 m

Breadth of the room = 4 m

Area of the room = 5 × 4 = 20 m²

Let the width of the verandah = 'x' m

Length of the room along with verandah = (5 + x + x) m

Breadth of the room along with verandah = (4 + x + x) m

Area of verandah = (5 + x + x)(4 + x + x) = (4x² + 18x + 20)

But,

Given area of the verandah = 22 m²

⇒ (4x² + 18x + 20) - 20 = 22

⇒ 4x² + 18x = 22

⇒ 2(2x² + 9x) = 11

⇒ 2x² + 9x - 11 = 0

⇒ 2x² + 11x - 2x - 11 = 0

⇒ 2x(x + 11) - 2(x + 11) = 0

⇒ (2x - 2)(x + 11) = 0

⇒ 2x = 2, x = -11

⇒ x = 1, -11{Width cannot be negative.}

⇒ x = 1

Therefore, width of the verandah = 1 m.

Hope it helps!