Answer:
x = 15
Step-by-step explanation:
I am going to use the "butterfly" method for proportions
(there is another type of butterfly method that is different, I am not sure if there is another name for this method, sorry!)
Multiply the:
- top left by the bottom right
-the top right by the bottom left
and then:
- set them equal to each other
So we will <u>multiply 7 by x and 21 by 5</u> (if this doesn't make sense tell me and I will explain it even more!)
7x = 21 * 5
7x = 105
(Divide both sides by 7) <em>x = 15</em>
Hope this helps, have a nice day! :D <3
Answer:
B) 40 ft
Step-by-step explanation:
Use the picture for a reference.
1. We can see the diagonal forms a triangle. Since the angles of a rectangle are right, we can use the Pythagorean Theorem to solve for x.
2. The Pythagorean Theorem
a^2 (a squared) + b^2 (b squared) = c^2 (c squared)
a = 30 ft (width)
b = x ft (unknown length)
c = 50 ft (diagonal)
3. Substitute in the values:
30^2 + x^2 = 50^2
900 + x^2 = 2500
x^2 = 1600
x = 40
The length of the field is 40 ft.
