Question

You are building a dollhouse for your ENORMOUS Barbie collection the blueprint of the dollhouse uses a scale of 1:20 the floor of the house measured 5” x 4.5” on the blueprint. What are the dimensions of the floor of the dollhouse in real life? ( In inches). Part B - the material you are using for the floor costs $1.50 per square foot. How much will it cost to buy the material for the floor assuming you can buy a piece exactly the right size? Show work

Answer 1

Part a) The dimensions of the floor of the dollhouse in real life are 100 in by 90 in

Part b)
`\$93.75`

Explanation:

Part a) What are the dimensions of the floor of the dollhouse in real life?

we know that

The scale is 1:20

That means

1 unit in the blueprint represent 20 units in real life

or

1 inch in the blueprint represent 20 inches in real life

The dimensions of the floor on the blueprint are

5 in by 4.5 in

To find out the dimensions in real life multiply the dimensions on the blueprint by 20

5(20)=100 in

4.5(20)=90 in

therefore

The dimensions of the floor of the dollhouse in real life are 100 in by 90 in

Part b) The material you are using for the floor costs $1.50 per square foot. How much will it cost to buy the material for the floor assuming you can buy a piece exactly the right size?

Remember that

`1\ ft=12\ in`

To convert inches to feet divide by 12

Convert the dimensions of the floor of the dollhouse in real life to feet

`100\ in=(100)/(12)=(25)/(3) \ ft`

`90\ in=(90)/(12)=(45)/(6) \ ft`

Find the area of the floor in real life

`A=(25)/(3)((45)/(6))=(1,125)/(18)=62.5\ ft^2`

Find the cost

Multiply the area by the cost per square foot

`62.5(1.50)=\$93.75`