Dylan is buying a house and looking at the blueprints to make his decision. if each 4 cm in the scale drawing below is equal to 7 feet, what is the area if the living room? The living room is 8cm by 16cm

Question

Dylan is buying a house and looking at the blueprints to make his decision. if each 4 cm in the scale drawing below is equal to 7 feet, what is the area if the living room? The living room is 8cm by 16cm

Answer 1

First, we need to convert the measurements from centimeters to feet.

Each 4 cm is equal to 7 feet, so we can set up a proportion:

4 cm = 7 feet
8 cm = x feet

To solve for x (the length of the living room in feet), we can cross-multiply:

4 cm * x feet = 8 cm * 7 feet
4x = 56
x = 14

So the length of the living room is 14 feet.

Using the same method, we can find that the width of the living room is 28 feet (since each 4 cm is equal to 7 feet, and the width is 16 cm).

Now we can find the area of the living room by multiplying length times width:

Area = 14 feet * 28 feet
Area = 392 square feet

So the area of the living room is 392 square feet.

Answer 2

Dylan is buying a house and looking at the blueprints to make his decision. if each 4 cm in the scale drawing below is equal to 8 feet, what is the area if the living room? The living room is 12cm by 12cm

Answer 3

First, we need to convert the measurements from centimeters to feet.

Each 4 cm is equal to 8 feet, so we can set up a proportion:

4 cm = 8 feet
12 cm = x feet

To solve for x (the length of the living room in feet), we can cross-multiply:

4 cm * x feet = 12 cm * 8 feet
4x = 96
x = 24

So the length of the living room is 24 feet.

Using the same method, we can find that the width of the living room is also 24 feet (since each 4 cm is equal to 8 feet, and the width is also 12 cm).

Now we can find the area of the living room by multiplying length times width:

Area = 24 feet * 24 feet
Area = 576 square feet

So the area of the living room is 576 square feet.

Answer 4

To find the area of the living room in the actual house, we need to convert the measurements from the scale drawing to the real measurements.

Given that 4 cm in the scale drawing is equal to 7 feet, we can set up the following proportion:

4 cm / 7 feet = 8 cm / x feet

Now, we can cross-multiply and solve for x:

4 cm * x feet = 8 cm * 7 feet

4x = 56

x = 56 / 4

x = 14

So, 8 cm in the scale drawing is equal to 14 feet in the actual house. Similarly, 16 cm in the scale drawing is equal to 28 feet in the actual house.

Now, we can find the area of the living room by multiplying the length and width:

Area = Length * Width

Area = 14 feet * 28 feet

Area = 392 square feet

Therefore, the area of the living room is 392 square feet.