The length of a rectangular rug is 18 ft. and the length of its diagonal is 22ft. a). What is the width of the rug to the nearest foot? The width is _
b). What is the perimeter of the rug to the nearest foot? The perimeter is _
c) What is the area of the rug to the nearest square foot? The area is _

a:

13ft.

b:

61ft.

c:

228ft.

Step-by-step explanation:

pythagoras theorem part:

22^2 - 18^2 =160

√160 = 12.649... = 13ft. (rounded )

b:

18 + 18 + 12.649... + 12.649... = 36 + 25.298... = 61.298... = 61ft. (rounded)

c:

12.649... x 18 = 227.683... = 228ft. (rounded)

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!