Question

A hotel has a rectangular-shaped meeting room that is 13.4 yds. wide and 15.1

yds. long. If carpet costs $1.71 per ft^2

, what would be the cost of carpeting the

meeting room?

Answer 1

✯ Appropriate Question -

A hotel has a rectangular shaped meeting room that is 13.4 yards wide and 15.1 yards long. If the carpenter cost $ 1.71 per feet² what would be the cost of carpenting the room ?

✯ Explanation -

Given :

• Length of the meeting room = 15.1 yard
• Breadth of the meeting room = 13.4 yard
• Rate of carpenting per feet² = $ 1.71

Need to find :

• Cost of carpenting the room.

Solution :

THIS QUESTION IS BASED ON MEANSURATION TO SOLVE THIS QUESTION FIRST WE WILL CALCULATE THE AREA OF THE MEETING ROOM AND THEN WE WILL CALCULATE THE COST OF CARPENTING THE MEETING ROOM.

Calculating the area of the meeting room

$\star \: \large \boxed{\sf{ Area_{(rectangle)} = Length × Breadth }}$

$\large\rm{ Area_{(rectangle)} = (15.1 × 13.4) yard² = 202.34 \: yards²}$

Area of the meeting room = 202.34 yard²

Calculating the cost of carpenting the meeting room

First we will convert yards into feet

We know,

1 yard = 3 feet

202.34 yard = 202.34 × 3 = 607.02 feet

Now calculating the cost of carpenting the meeting room

Rate of carpenting = $ 17.1 per feet²

Cost of carpenting = $ ( 17.1 × 607.02) = $10,380.04

Final Answer -

• Cost of carpenting the meeting room = $10,380.04.

$\rule{180pt}{3pt}$