A rectangle has the length of 3.4 feet and a width of 5.7 feet a larger similar rectangle has the length of 17 feet. What is the width of the rectangle
To find the width of the larger rectangle, we can use the concept of similarity.
Similar figures have corresponding sides that are proportional, meaning their ratios are equal.
In this case, we can set up the following proportion:
length of smaller rectangle / length of larger rectangle = width of smaller rectangle / width of larger rectangle
3.4 feet / 17 feet = 5.7 feet / width of larger rectangle
Simplifying the proportion, we have:
0.2 = 5.7 / width of larger rectangle
To isolate the width of the larger rectangle, we can cross multiply:
width of larger rectangle = (5.7 / 0.2) feet
width of larger rectangle = 28.5 feet