Question

In a blueprint, each square has a side length of 1/4 inch. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom? Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?
(as you can see, I already got the answer for a. I just need the answer for b.)

Answer 1

b.

Bedroom area

Lenght = 5 squares

= 5 × 1/4 inchi

= 5/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 5/4 × 1 inchi

= 5/4 inchi

Living room

Lenght = 7 squares

= 7 × 1/4 inchi

= 7/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 7/4 × 1 inchi

= 7/4 inchi

Total Area

Bedroom area + Living room area

= 5/4 + 7/4

= (5+7)/4 inchi

= 12/4 inchi

= 3 inchi

1 square yard = 1296 square inches

so 1 square inches = 1/1296 square yard

3 inchi = 3×1/1296

= 3/1296

= 1/432

Cost = 1/432 × $18

= $1/24

It would cost $1/24 to carpet the bedroom and living room.