The length by the width of Roxie's photo is 24 cm long and 14 cm wide. In order to make a photo that will fit into a wallet, the photo needs to be reduced to a length of 7 cm. Determine the width of the wallet size photo.
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To determine the width of the wallet size photo, we can use the ratio of the lengths to find the scale factor by which the length is reduced.
The scale factor can be calculated as:
Scale factor = Desired length / Original length
Given:
Original length = 24 cm
Desired length = 7 cm
Scale factor = 7 cm / 24 cm
Now, we can use the scale factor to find the width of the wallet size photo.
Width of wallet size photo = Original width * Scale factor
Given:
Original width = 14 cm
Width of wallet size photo = 14 cm * (7 cm / 24 cm)
Simplifying, we get:
Width of wallet size photo = 4.0833 cm (rounded to the nearest decimal place)
Therefore, the width of the wallet size photo is approximately 4.0833 cm.
To determine the width of the wallet-sized photo, we can use proportional reasoning.
We know that the original photo has a length of 24 cm and a width of 14 cm. The length of the wallet-sized photo is 7 cm.
To find the width of the wallet-sized photo, we can set up a proportion:
(original length) / (original width) = (wallet-sized length) / (wallet-sized width)
Plugging in the given values, we have:
24 cm / 14 cm = 7 cm / (wallet-sized width)
Now we can solve for the wallet-sized width:
(wallet-sized width) = (7 cm) * (14 cm) / (24 cm)
Calculating, we get:
(wallet-sized width) = 4.08 cm (rounded to two decimal places)
Therefore, the width of the wallet-sized photo is approximately 4.08 cm.
24/7 = 14/x
24x = 98
x = 4 cm