Question

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

Answer 1

Answer:

$40.5\ ft^2$

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

$A=\frac{1}{2}[JB+LW]h$

substitute the given values

$A=\frac{1}{2}[18+9](9)$

$A=121.5\ ft^2$

step 2

Find the area of triangle BSJ

The area of triangle is equal to

$A=\frac{1}{2}[JB]h$

substitute the given values

The height of triangle is equal to the height of trapezoid  

$A=\frac{1}{2}[18](9)$

$A=81\ ft^2$

step 3

Find the area of the shaded region

$A=121.5-81=40.5\ ft^2$