Question

Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawingA blueprint of a garden uses a scale of 1 cm on the plan to represent 5 meters in the actual garden. If a flowerbed on the plan measures 8 cm by 12 cm, what are the actual dimensions of the flowerbed in meters?

A) 2 m by 3 m

B) 4 m by 6 m

C) 1.6 m by 2.4 m

D) 2.4 m by 3.6 m

Answer 1

The actual dimensions of the flowerbed are 40 meters by 60 meters.

Step-by-step explanation:

To find the actual dimensions of the flowerbed in meters, we need to use the given scale. The scale is 1 cm on the plan represents 5 meters in the actual garden. So, if the flowerbed on the plan measures 8 cm by 12 cm, the actual dimensions of the flowerbed can be found by multiplying the length and width of the flowerbed on the plan by the scale factor of 5.

Length of flowerbed: 8 cm * 5 = 40 meters

Width of flowerbed: 12 cm * 5 = 60 meters

Therefore, the actual dimensions of the flowerbed are 40 meters by 60 meters. So, the correct answer is option D) 2.4 m by 3.6 m.