Question

Trevor measured the floor of his storage unit, which is rectangular. It is 12 feet wide and 15 feet from one corner to the opposite corner. How long is the storage unit?

Answer 1

Solution given:

length(l)=?

wide(b)=12ft

diagonal (d)=15ft

we know that

diagonal bisect a rectangle at 90°

so

By using Pythagoras law

hypotenuse ²=perpendicular ²+base²

d²=l²+b²

15²=l²+12²

l²=15²-12²

l²=81

l=
`√(81)=9`

The storage unit is 9ft long.

Answer 2

• 9 feet

Explanation:

Length - l, width- w, diagonal - d

Given:

• w = 12 ft
• d = 15 ft
• l = ?

Find the value of l using Pythagorean:

• 
  `l = √(d^2-w^2) =√(15^2-12^2) =√(225-144) =√(81) =9`