Can someone show me the steps to solve the problem?

Hello from MrBillDoesMath!

320 sqrt(3)

Discussion:

Per the attachment,

cos(30 ) = n/ 32 =>  n = 32 cos(30) = 32 (sqrt(3)/2) = 16 sqrt(3)

So

area of shaded triangle =  

area triangle DBC =

area triangle ADC - area triangle ABD =

1/2 (n) * (m + 40)    - 1/2 n * m =

1/2  n*m  + 1/2 (40n) - 1/2 n*m =

1/2(40n) =

20n =

20 ( 16 sqrt(3)) =                                as n = 16 sqrt(3)

320 sqrt(3)

Thank you,

MrB

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation: