Question

Could u pls show me step by step

Answer 1

Answer:

36

Step-by-step 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

Answer 2

Answer:

Area = 36 sq. units

Step-by-step 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 = $\frac{1}{2}h(b_{1} +b_{2})$

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

A = $\frac{1}{2}(4)(7 + 11)$

Simplify:

A= $\frac{1}{2}(4)(18)$

A = 2(18)

A = 36

So the answer is 36. Hope I helped!