It costs $ 2128 to install tile for dining room
It costs $ 1092 to install carpet in bedroom
<em><u>Solution:</u></em>
Given that,
Every 2 centimeters on a floor plan represents 1 meter of the house
1 meter = 2 centimeter
<h3><u>The dining room is 8 cm by 14 cm on the floor plan</u></h3>
Length = 8 cm
Width = 14 cm
The room is usually of shape rectangle
The area of rectangle is:
area = length x width
![area = 8 \times 14 = 112](https://tex.z-dn.net/?f=area%20%3D%208%20%5Ctimes%2014%20%3D%20112)
Thus area of dining room is 112 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
Convert centimeter to meter
From given statement in question,
1 meter = 2 centimeter
![1 \text{ centimeter } = \frac{1}{2} \text{ meter }](https://tex.z-dn.net/?f=1%20%5Ctext%7B%20centimeter%20%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctext%7B%20meter%20%7D)
![112 cm^2 = \frac{1}{2} \times \frac{1}{2} \times 112 m^2\\\\112cm^2=28m^2](https://tex.z-dn.net/?f=112%20cm%5E2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20112%20m%5E2%5C%5C%5C%5C112cm%5E2%3D28m%5E2)
Thus area of dining room is 28 square meter
<em><u>How much would it cost to install tile in the dining room ?</u></em>
Installing tile cost $76 per square meter
cost per square meter = $ 76
Then cost of installing tile for 28 square meter is given as:
cost for
= 76 x 28 = 2128
Thus it costs $ 2128 to install tile for dining room
<h3><u>The bedroom is 7 cm by 12 cm on the floor plan</u></h3>
Area of bedroom is given as:
![Area = 7 \times 12 = 84](https://tex.z-dn.net/?f=Area%20%3D%207%20%5Ctimes%2012%20%3D%2084)
Thus area of bedroom is 84 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
Convert centimeter to meter:
![84 cm^2 = \frac{1}{2} \times \frac{1}{2} \times 84 m^2 = 21m^2](https://tex.z-dn.net/?f=84%20cm%5E2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%2084%20m%5E2%20%3D%2021m%5E2)
Thus area of bedroom is ![21m^2](https://tex.z-dn.net/?f=21m%5E2)
<em><u>How much would it cost to install carpet in the bedroom ?</u></em>
Installing carpet cost $52 per square meter
cost of carpet per square meter = $ 52
cost of 21 square meter = 52 x 21 = 1092
Thus it costs $ 1092 to install carpet in bedroom