Question

please answer the question quickly I will mark you as BRAINLIST ​

Answer 1

$\large\underline{\underline\mathsf\blue{QUESTION}}$

The area of the four walls of a room is 120m². The length is twice the breadth. If height of the room is 4m, find the breadth.

$\large\underline{\underline\mathsf\green{SOLUTION}}$

GIVEN

• Area of four walls = 120m²
• Length is twice its breadth .
• Height of the room = 4m.

TO FIND

• Breadth of the room.

FORMULA

• Area of four walls = 2h(l+b)

1. h is the height.
2. l is the length.
3. b is the breadth.

Let, The breadth be ,

then the length will be 2x

ACCORDING TO QUESTION

$\bold{\hookrightarrow A = 2h(l+b)}$

$\bold{\hookrightarrow 120 = 2×4 (2x + x)}$

$\bold{\hookrightarrow 120 = 8 (3x)}$

$\bold{\hookrightarrow \frac{120}{8} = 3x}$

$\bold{\hookrightarrow 15 =3x}$

$\bold{\hookrightarrow \frac{15}{3} = x}$

$\bold{\hookrightarrow 5 = x}$

THEREFORE

• breadth = x = 5m
• length = 2x = 2×5 =10m