Question

Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.

Draw and label the dimensions of a scale drawing of Mai’s kitchen, using a scale of 1 to 40. HEEEEEEEELPPPP

Answer 1

Length of scale = 15 cm

Width of scale = 5 cm

Explanation:

Dimensions of the kitchen of Mai are given as:

Length of kitchen = 6 m

Width of kitchen = 2 m

Scale to be used = 1 to 40

To find:

The drawing with labeling and dimensions of the scale drawing.

Solution:

First of all, let us understand about the concept of scaling.

Scaling is a method to represent big structures on paper.

For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.

Here, the scale factor used is 1 to 40.

i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.

40 units of kitchen = 1 unit of scale

1 unit of kitchen =
`(1)/(40)` units of scale

6 m of kitchen =
`(1)/(40)* 6\ m = (600)/(40)\ cm = 15\ cm`

Length of scale = 15 cm

40 units of kitchen = 1 unit of scale

1 unit of kitchen =
`(1)/(40)` units of scale

2 m of kitchen =
`(1)/(40)* 2\ m = (200)/(40)\ cm = 5\ cm`

Width of scale = 5 cm

Please refer to the attached image as well for representation of given scale.