Question

A publisher displays its latest magazine cover on its website. The publisher scales up the front cover of the magazine using a scale of 6 centimeters to 1 inch. The length of the scale drawing is 48 centimeters, and its width is 66 centimeters. The length of the actual magazine cover is inches. The width of the actual magazine cover is inches. The scale drawing is too big to view on a computer screen without scrolling. So, the publisher uses a new scale of 4 centimeters to 1 inch. The length of the new scale drawing is centimeters. The width of the new scale drawing is centimeters. please help me with this question.

Answer 1

The dimensions of the actual image are 8 inches long by 11 inches wide.
The new scale gives a drawing that is 32 cm long by 44 cm wide.

We use proportions to solve this. For the length of the actual image:

6/1 = 48/x

Cross multiply:
6*x = 48*1
6x = 48

Divide both sides by 6:
6x/6 = 48/6
x =8 inches

For the width of the actual image:

6/1 = 66/x
6*x = 66*1
6x = 66

Divide both sides by 6:
6x/6 = 66/6
x = 11

For the new scale image, use the new scale:
Length:
4/1 = x/8

Cross multiply:
4*8 = x*1
32 = x

Width:
4/1 = x/11
4*11 = x*1
44 = x

Answer 2

1). Length = 8 and width = 11 cm

2). Width = 44 cm

Explanation:

A publisher scales up the front cover of the magazine using a scale of 6 cm to 1 inch.

Since the length and width of the scale drawing are 48 cm. and 66 cm.

By the scale factor we have to find the scaled length of the cover.

∵ 6 cm length of the cover = 1 inch

∴ 1 cm length of the cover =
`(1)/(6)` inch

∴ 48 cm length of the cover =
`(48)/(6)` inch

= 8 inches

Similarly scaled width of the cover =
`(66)/(6)` = 11 inches

Since width of the magazine cover was too big to view on computer.

So new scale 4 cm to inch was used.

By this scale factor we have to find the scaled width of the drawing.

∵ 1 inch width of the drawing = 4 cm

∴ 11 inch width of the drawing = 11×4

= 44 cm.