Find the area of the shaded region. trapezoid lwjb is shaded. base jb has a length of 18 feet. base lw has a length of 9 feet. the height of the trapedoid is 9 feet. point s is on the line lw and between points l and w. triangle bsj is not shaded. a. 36 ft² b. 48 ft² c. 18 ft² d. 40.5 ft²

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of trapezoid LWJB minus the area of triangle BSJ

step 1

Find the area of trapezoid LWJB

The area of trapezoid is equal to

substitute the given values

step 2

Find the area of triangle BSJ

The area of triangle is equal to

substitute the given values

The height of triangle is equal to the height of trapezoid  

step 3

Find the area of the shaded region

it is b)

hope this : )

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)