Question

find the area of the original rectangular pool and the rectangular scale drawings.

scale	width	length	area
1 cm = 2 m	15 cm	20 cm	cm²
1 cm = 10 m	3 cm	4 cm	cm²

Explanation:

Step1: Recall area formula for rectangle

The area formula of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width.

Step2: Calculate area for 1 m = 1 m scale

For width $w = 30$ m and length $l=40$ m, $A_1=30\times40 = 1200$ $m^{2}$.

Step3: Calculate area for 1 cm = 2 m scale

For width $w = 15$ cm and length $l = 20$ cm, $A_2=15\times20=300$ $cm^{2}$.

Step4: Calculate area for 1 cm = 10 m scale

For width $w = 3$ cm and length $l = 4$ cm, $A_3=3\times4 = 12$ $cm^{2}$.

Answer:

1200, 300, 12