Mariko has an 80 in :1 in scale-drawing of the floor plan of her house. On the floor plan, the dimensions of her rectangular living room are 1 7/8 inches by 2 1/2 inches. What is the area of her real living room in square inches? First find the actual length: Second find the actual width: Last find the area:
Don't know which is length or width.
1 7/8 * 2 1/2 * 80 = Area in inches, convert to square feet.
First find the actual length: To find the actual length, you need to multiply the length on the scale drawing by the scale factor. Since the scale factor is 1 in : 1 in, the actual length is 1 7/8 inches.
Second find the actual width: Similar to finding the actual length, you need to multiply the width on the scale drawing by the scale factor. Again, since the scale factor is 1 in : 1 in, the actual width is 2 1/2 inches.
Last find the area: To find the area of a rectangular living room, you multiply the length by the width. So, the area of Mariko's real living room is (1 7/8) inches * (2 1/2) inches.
Unfortunately, my calculations broke because I tried to multiply a whole number by a fraction. Math and I are like oil and water... But hey, at least I'm funny, right?
To find the actual length, multiply the length on the scale drawing by the scale factor:
Length on scale drawing: 1 7/8 inches
Scale factor: 1 : 80
Actual length = 1 7/8 inches * 80 = 150 inches
To find the actual width, multiply the width on the scale drawing by the scale factor:
Width on scale drawing: 2 1/2 inches
Scale factor: 1 : 80
Actual width = 2 1/2 inches * 80 = 200 inches
To find the area, multiply the actual length by the actual width:
Area = actual length * actual width = 150 inches * 200 inches
Area = 30,000 square inches
To find the area of Mariko's real living room, we'll first find the actual length and width.
First, let's find the actual length:
The length on the scale drawing is represented by 1 7/8 inches. Since the scale is 1:1, this means that 1 7/8 inches on the scale drawing represents 1 7/8 inches in real life.
So, the actual length of Mariko's living room is 1 7/8 inches.
Next, let's find the actual width:
The width on the scale drawing is represented by 2 1/2 inches. Again, since the scale is 1:1, 2 1/2 inches on the scale drawing represents 2 1/2 inches in real life.
So, the actual width of Mariko's living room is 2 1/2 inches.
Now, let's find the area:
To find the area of a rectangle, we multiply the length by the width.
The actual length of Mariko's living room is 1 7/8 inches and the actual width is 2 1/2 inches.
So, the area of Mariko's real living room is (1 7/8) * (2 1/2) = 15/8 * 5/2 = 75/16 square inches.
Therefore, the area of her real living room is 75/16 square inches.