A scale drawing for a backyard is shown below.
In the drawing, 2 cm represents 3 m .
Assuming the patio is rectangular, find the area of the real patio.
To find the area of the real patio, you need to determine the dimensions of the patio in the drawing and then use the scale to convert it to the actual dimensions.
1. Start by measuring the length and width of the patio in the scale drawing. Let's say the length is 4 cm and the width is 3 cm.
2. Convert the measurements from centimeters to meters, using the scale given. Since 2 cm represents 3 m, divide the measurements by 2, then multiply by 3 to get the real dimensions. In this case, the length would be (4/2) * 3 = 6 m and the width would be (3/2) * 3 = 4.5 m.
3. Calculate the area of the patio by multiplying the length by the width. In this case, the area would be 6 m * 4.5 m = 27 square meters.
So, the area of the real patio is 27 square meters.