Question

Priya used four similar rectangular carpets and a square carpet for the flooring in her study room as shown:
It if cost her Rs. $6$ per square metre for the rectangular carpets and Rs. $8$ per square metre for the square carpet, how much did she pay in all?

• A. Rs. $512$
• B. Rs. $600$
• C. Rs. $417$
• D. Rs. $416$

Answer 1

Answer: (D)

Rs. $416$

Length of rectangle $=6m$
Breadth of rectangle carpet $=2m$
Area of $1$ rectangle $6m\times 2m=12m^2$
$\therefore$ Area of $4$ rectangles$=4\times 12m^2=48m^2$
Cost of carpeting $1m^2$ area of rectangle $=$Rs. $6$
Cost of carpeting $48m^2$ area of rectangle $=Rs.6\times 48=Rs.288$
Side of square $=(6-2)=4m$
Area of square $=4m\times 4m=16m^2$
Cost of carpeting $1m^2$ area of square $=Rs.8$
Cost of carpeting $16m^2$ area of square
$=Rs.(8\times 16)=Rs.128$
$\therefore$ Total amount paid by Priya
$=Rs.288+Rs.128=Rs.416$