Question

Could u pls show me step by step

Answer 1

Area = 36 sq. units

Explanation:

The 3 values you need to solve for the area are the top base length, bottom base length, and height.

Top base length = 7 . It's the distance between point A and B.

Bottom base length = 11. It's the distance between points C and D.

Height = 4. It's the perpendicular distance from the top to the bottom base.

The formula to solve the area of a trapezoid (or trapezium, I'm American) is:

A =
`(1)/(2)h(b_(1) +b_(2))`

Put in the numbers above for the unknowns and you will get this:

A =
`(1)/(2)(4)(7 + 11)`

Simplify:

A=
`(1)/(2)(4)(18)`

A = 2(18)

A = 36

So the answer is 36. Hope I helped!

Answer 2

36

Explanation:

top base= B(x)-A(x)= 10-3= 7

bottom base= C(x)- D(x)= 12-1= 11

height= A(y) - D(y) = B(y)- C(y)= 5-1=4

Area= 1/2(7+11)*4= 36