Question

A scale drawing of a square object has a scale of 1 in. : 5 mm. The scale drawing has a length of 2.5 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.

Drawing Actual
Perimeter:__in. Perimeter:__mm
Area:__inches^2 Area:__mm^2

Answer 1

See below

Explanation:

Square objects have four sides of equal length

so the perimeter of the drawing will be 4 * 2.5 = 10 inches

area of drawing = 2.5 x 2.5 = 6.25 in^2

the actual object will have side lengths

2.5 in / 1 inch/ 5mm = 12.5 mm

four sides each 12. 5 mm = 50 mm

area of object = 12.5 x 12.5 = 156.25 mm^2