Question

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle's diagonal
measurement is 29 inches, find the height.
Give your answer rounded to 1 decimal place.
inches

Answer 1

Answer:

h = 16.7 inches

Step-by-step explanation:

h² + (h + 7)² = 29²

h² + h² + 14h + 49 = 841

2h² + 14h - 792 = 0

h² + 7h - 396 = 0

quadratic formula

h = (-7 ±√(7² - 4(1)(-396))) / (2(1))

h = (-7 ± 40.4103) / 2

h = -23.705 which we ignore as negative length makes no sense

     (although 23.705 inches will turn out to be the width of our rectangle)

or

h = 16.705