Question

The area of four walls of a room is 150 ^2 m . If the length of the room is twice its breadth and the height is 4 m, find the area of the floor .​

Answer 1

Answer: 78.125 cm²

Step-by-step explanation:

Given area of four walls = 150 m²

let breadth = b

Length is twice its breadth

Therefore length = 2b

Height = 4 m

Now curved surface area of cuboid = 2h(l+b)

so \begin{gathered}2h(l+b)= C.S.A. \\\\\Rightarrow 2\times 4\times (2b+b)=150\\\\\Rightarrow 8\times 3b= 150\\\\\Rightarrow b= \dfrac{150}{8\times 3} = 6.25cm\end{gathered}

2h(l+b)=C.S.A.

⇒2×4×(2b+b)=150

⇒8×3b=150

⇒b=

8×3

150

=6.25cm

length;l = 2b = 2 x 6.25 = 12.50 cm

Area of floor = l x b= 6.25 x 12.50 = 78.125 cm²

Hence, area of the floor is 78.125 cm²

I hope it's help you