Solution:
x y ║ z w→→Given
Also, x z is a transversal, that intercepts x y and z w.
So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.
Also, v is point of intersection of x z and y w.
∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]
So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]
I got $10,822. Just to be sure do it yourself, $410x26+162=?
242-94 = 148 (length is 47 more than the width, you double the length to get the perimeter, so you double 47 which equals 94)
148/4 = 37 (4 being the 4 sides of the rectangle)
width = 37
length = 84
As was the case in your previous question, this problem involves setting two ratios equal to each other. We call such an equation a proportion.
16 miles = x miles
(1/2) inch 2 3/4 inches
x = (11/4) * 16 = (11/4) * 2 * 16 = 88 miles
(1/2)
