Question

The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?

The cost of the hardwood flooring for the dining room is $
.

Answer 1

$3,520

Explanation:

If each square has a side length of 1/4 in then the dimensions of the Dining Room in the blueprint are:

• Dining Room = (4 × 1/4) x (5 × 1/4) = 1 × 1.25 in

The scale given is 1 in : 16 ft, therefore dimensions of room scaled up:

• Dining Room = (1 × 16) x (1.25 × 16) in = 16 × 20 ft

Therefore, the area of the Dining Room = 16 × 20 = 320 ft²

Given the hardwood floor costs $11 per ft², to find the total cost of the floor for the dining room:

Total cost = area × cost per ft²

= 320 × $11

= $3,520

Answer 2

• $3520

Explanation:

Find the dimensions of dining room

Width

• 4*1/4 in = 1 in
• 1 in ⇒ 1*16 ft = 16 ft, according to scale factor

Length

• 5*1/4 in = 1.25 in
• 1.25 in ⇒ 1.25*16 ft = 20 ft

Find the area of dining room

• A = lw = 16*20 = 320 ft²

Find the cost of flooring for the dining room

• 320*11 = 3520