Marie has a small copy of Rene Magritte's famous painting, The Schoolmaster. Her copy has dimensions 2 inches by 1.5 inches. The scale of the copy is 1 in.:40 cm

A. Find the dimensions of the original painting.

B. Find the area of the original painting.

C. Since 1 inch is 2.54 cm, find the dimensions of the original painting in inches.

D, Find the area of the original painting in square inches.

Respuesta :

A. Find the dimensions of the original painting.

 

Since the scale is 1 in : 40 cm

2 in ( 40 cm / 1 in) = 80 cm

1.5 in ( 40 cm / 1 in) = 60 cm

80 cm by 60 cm

 

B. Find the area of the original painting.

A =  80 cm x 60 cm = 4800 sq cm

 

C. Since 1 inch is 2.54 cm, find the dimensions of the original painting in inches.

80 cm ( 1 in / 2.54 cm) = 31.5 in

60 cm ( 1 in / 2.54 cm) = 23.6 in

 

D, Find the area of the original painting in square inches.

A = 31.5 in x 23.6 in = 743.4 sq in