Answer:
Part a) The dimensions of the floor of the dollhouse in real life are 100 in by 90 in
Part b) [tex]\$93.75[/tex]
Step-by-step 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
[tex]1\ ft=12\ in[/tex]
To convert inches to feet divide by 12
Convert the dimensions of the floor of the dollhouse in real life to feet
[tex]100\ in=\frac{100}{12}=\frac{25}{3} \ ft[/tex]
[tex]90\ in=\frac{90}{12}=\frac{45}{6} \ ft[/tex]
Find the area of the floor in real life
[tex]A=\frac{25}{3}(\frac{45}{6})=\frac{1,125}{18}=62.5\ ft^2[/tex]
Find the cost
Multiply the area by the cost per square foot
[tex]62.5(1.50)=\$93.75[/tex]
