On a scale drawing of the front of a square earring, each side of the earring is 3.2cm. The scale from the earring to the drawing is 4mm to 2cm. What is the area of the front of the actual earring?

40.96 mm

3.2(10) = 32; 3.2 cm → 32 mm

each side of scale drawing is 32 mm

2(10) = 20; 2 cm → 20 mm

scale is 4 mm to 20 mm

cross-multiply:

32(4) = 128

128 / 20 = 6.4

each side of the actual drawing is 6.4 mm.

6.4 * 6.4 = 40.96

40.96 mm

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