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The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Tile costs $7 per square foot. What is the cost of the tile for the kitchen?

The cost of the tile for the kitchen is $___

The figure shows a blueprint of a dining room kitchen and living room Each square has a side length of 14 inch Tile costs 7 per square foot What is the cost of class=

Respuesta :

calculista

Answer:

The cost of the tile for the kitchen is $1,680

Step-by-step explanation:

step 1

we know that

The scale drawing is [tex]\frac{1}{16}\frac{in}{ft}[/tex]

The dimensions of the kitchen in the blueprint are

L=3(1/4)=3/4 in

W=5(1/4)=5/4 in

step 2

Find the actual dimensions of the kitchen

Divide the dimensions of the kitchen in the blueprint by the scale drawing

L=(3/4)/(1/16)=12 ft

W=(5/4)/(1/16)=20 ft

The area is equal to

A=(12)(20)=240 ft²

step 3

Find the cost of the tile for the kitchen

7(240)=$1,680

Answer:

Cost of the tiles for the kitchen is $1680

Step-by-step explanation:

From the figure attached,

Dimensions of the kitchen = 5 small squares by 3 small squares

Since 1 small square = [tex]\frac{1}{4}[/tex] inch

So the dimensions of the kitchen in inches = [tex]\frac{5}{4}[/tex] inches by [tex]\frac{3}{4}[/tex] inches

Map Scale has been given as

1 inch = 16 ft

Therefore actual dimensions of the kitchen will be

[tex]\frac{5}{4}\times 16[/tex] ft by [tex]\frac{3}{4}\times 16[/tex] ft

= 20 ft by 12 ft

Area of the kitchen = 20×12

= 240 ft²

Per square feet tile cost = $7

So the cost of tiling 240 ft² will be = 240 × 7

= $1680

Therefore, cost of the tiles for the kitchen is $1680

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