The two quadrilaterals are similar. What is the value of x?
Shape A: 2,5
Shape B: 3.6, X
Shape B uses Dilation
In dilation, corresponding sides of similar shapes are proportional. So, we can set up the following proportion:
2/3.6 = 5/x
Cross multiplying, we get:
2x = 3.6 * 5
2x = 18
x = 9
Therefore, the value of x is 9.
A rectangle has a length of 3.4 ft/ and a width of 5.7 ft. A larger similar rectangle has a length of 17 ft. What is the width of the larger rectangle?
Since the two rectangles are similar, the ratio of their corresponding sides will be the same.
Let's set up the proportion:
length of smaller rectangle / length of larger rectangle = width of smaller rectangle / width of larger rectangle
3.4 ft / 17 ft = 5.7 ft / x
Simplifying the proportion:
0.2 = 5.7 / x
Cross multiplying:
0.2x = 5.7
Dividing both sides by 0.2:
x = 5.7 / 0.2
x ≈ 28.5
Therefore, the width of the larger rectangle is approximately 28.5 ft.