The diagram of the playground using the scale factor of 1 cm to 10 cm is in the image attached.
How to calculate the new dimensions of the playground?
The new dimensions of the play ground is calculated by applying the following formula as shown below;
The original dimensions of the playground;
length, L = 40 m = 4000 cm
breadth, w = 30 m = 3000 cm
The scale factor for the new dimension of the play ground is;
S.F = 1 : 10
New length of the playground = 1/10 x 4000 cm = 400 cm
New breadth of the playground = 1/10 x 3000 cm = 300 cm
The new dimensions in meters;
New length = 4 m
New breadth = 3 m
The diagram of the new dimension of the playground is in the image attached.