1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# The length and breadth of a room are in the ratio $4:3$ and its height is $5.5metres$. The cost of decorating its walls (including doors and windows) at $₹6.60$ per square metre is $₹5082$. Find the length and breadth of the room.

Open in App
Solution

## Find the length and breadth of the room.$l:b=4:3$Let the length, breadth and height of a room be $4x$, $3x$ and $5.5m$ respectively.Rate of decorating wall $=₹6.60/{m}^{2}$Total cost of decorating wall $=₹5082$Total cost = area of the wall to be decorated $×$ rate of decorating$5082=2\left(lh+bh\right)×6.60$$5082=2h\left(l+b\right)h×6.60$$5082=2×5.5\left(4x+3x\right)×6.60$$5082=11\left(7x\right)×6.60$$5082=77x×6.60$$77x=\frac{5082}{6.60}$$77x=770$$x=\frac{770}{77}$$\therefore x=10$Hence, the required length = $4×10=40m$ and Breadth = $3×10=30m$Thus, the length and breadth of the room is $40m$and $30m$ respectively.

Suggest Corrections
3
Join BYJU'S Learning Program
Related Videos
Volume of Cuboids
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program