Question
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., The length of the banner is?
- 72 in
- 60 in
- 62 in
- 80 in
Hint:
We are given the dimensions of a picture of a Mascot. It is 18in. wide and 24in. long. The picture is enlarged proportionally to make a banner. It means the shape is kept the same and the dimensions are changed in the proportion with original dimensions. The banner is of 54in width. We are asked to find the length. The shape is same but different size.
The correct answer is: 72 in
The objects that have same shape and different sizes are called as the similar shapes.
We will use the properties of similar shapes to solve this sum.
Similar shapes have sides in proportion. The ratio of their sides is equal.
The given values are as follows:
Length of picture = 24in
Width of picture = 18in
Width of picture = 54in
Let the length of the picture be “x”.
We will take the ratios
The length of the banner is 72 inches.
For such questions, we should know the properties of the similar objects.
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