Question

A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimeter and area of the square.

Answer 1

Answer:

The real perimeter is:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

$P = 4x = 4*6 mm =24 mm$

The area for this case is given by:

$A = x^2 = 6mm^2 = 36 mm^2$

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$