Question

Please help to find the area of this trapezium

Answer 1

The area of trapezoid is 20 square centimeters

Explanation:

Let

x -----> the length of rectangle

y ----> the height of rectangle

h ----> height of trapezoid

Applying the Trapezoid Mid-segment Theorem we have that

`x=(1)/(2)(AD+BC)` ----> equation A

`y=(h)/(2)` ---->
`h=2y` ----> equation B

Remember that

The area of rectangle is equal to

`xy=10\ cm^2`

The area of trapezoid is equal to

`A=(1)/(2)(AD+BC)h` -----> equation C

substitute equation A and equation B in equation C

`A=(x)(2y)\\A=2xy`

The area of trapezoid is two times the area of rectangle

therefore

The area of trapezoid is 20 square centimeters