Question

copy (1) circles, proportional relationship, scale drawing
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the scale drawing of a square garden has a scale of 1 cm : 5 m. the length of a side of the garden in the drawing is 10 cm. what is the area of the actual garden?

square meters

Explanation:

Step1: Find actual side - length

Use the scale ratio. If 1 cm represents 5 m and the side - length in the drawing is 10 cm, then the actual side - length $s$ is $s = 10\times5$ m.
$s=50$ m

Step2: Calculate the area of the square

The area formula of a square is $A = s^{2}$. Substitute $s = 50$ m into the formula.
$A=50^{2}=2500$ $m^{2}$

Answer:

2500