Question

Every 2 centimeters on a floor plan represents 1 meter of the house. The dining room is 8 cm by 14 cm on the floor plan, and the bedroom is 7 cm by 12 cm on the floor plan. If installing tile cost $76 per square meter and installing carpet cost $52 per square meter, how much would it cost to install tile in the dining room and install carpet in the bedroom

Answer 1

It costs $ 2128 to install tile for dining room

It costs $ 1092 to install carpet in bedroom

Solution:

Given that,

Every 2 centimeters on a floor plan represents 1 meter of the house

1 meter = 2 centimeter

The dining room is 8 cm by 14 cm on the floor plan

Length = 8 cm

Width = 14 cm

The room is usually of shape rectangle

The area of rectangle is:

area = length x width

$area = 8 \times 14 = 112$

Thus area of dining room is 112 $cm^2$

Convert centimeter to meter

From given statement in question,

1 meter = 2 centimeter

$1 \text{ centimeter } = \frac{1}{2} \text{ meter }$

$112 cm^2 = \frac{1}{2} \times \frac{1}{2} \times 112 m^2\\\\112cm^2=28m^2$

Thus area of dining room is 28 square meter

How much would it cost to install tile in the dining room ?

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 $28m^2$ = 76 x 28 = 2128

Thus it costs $ 2128 to install tile for dining room

The bedroom is 7 cm by 12 cm on the floor plan

Area of bedroom is given as:

$Area = 7 \times 12 = 84$

Thus area of bedroom is 84 $cm^2$

Convert centimeter to meter:

$84 cm^2 = \frac{1}{2} \times \frac{1}{2} \times 84 m^2 = 21m^2$

Thus area of bedroom is $21m^2$

How much would it cost to install carpet in the bedroom ?

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