Question #82f8d

2 Answers
Jan 17, 2018

#"area "=77.5" square inches"#

Explanation:

#"there is a formula for calculating the area of a trapezoid"#

#"it derives from calculating the area of the rectangle and the"#
#"two right triangles"#

#• " area "=1/2h(a+b)#

#"where a, b are the lengths of the parallel sides and h is"#
#"is the perpendicular height between them"#

#"here "a=9,b=22" and "h=5#

#rArr"area "=1/2xx5xx31=77.5" square inches"#

Jan 17, 2018

#A=77.5#

Explanation:

Remember the formula#A=(b_2+b_1)/2*h# where the #b#s are the bases and #h# is the height.

In our case, #b_2=22#, #b_1=9#, and #h=5#
We now have:
#A=(22+9)/2*5#
#A=(31)/2*5#
#A=15.5*5#
#A=77.5#

That is the answer!