30.4k views
2 votes
Area Of a trapezoid with height 10x+9 cm length is 10x-2 and base 16x+10 cm

User Ellesedil
by
5.2k points

1 Answer

5 votes

Answer:

Explanation:

The area of a trapezoid of parallel sides of different lengths a and b and height h is

A = (average of side lengths)(height)

Here, that would be:

10x - 2 + 16x + 10

A = -------------------------- * (10x + 9)

2

Simplifying this expression, we obtain:

26x + 8

A = -------------- (10x + 9), or A = (13x + 4)(10x + 9)

2

If we choose to complete the multiplication, we obtain:

A = 130x^2 + 117x + 40x + 36, or

A = 130x^2 + 157x + 36

User Iqbal Kabir
by
5.4k points