Mathematics: 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:7.7777...

Find the area of the shaded region. trapezoid

kenna162

30.12.2021

$40.5\ ft^2$

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

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

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