Question

The area of a trapezoid is

Answer 1

Answer:

The answer is 15cm

Step-by-step explanation:

Let b be the length of the second parallel side

Area of a trapezium is given by

$A = \frac{1}{2} (a + b)h$

where

h is the height

a and b are the parallel sides

From the question

Area = 230 cm²

height = 20cm

one of parallel side / a = 8 cm

Substitute the values into the above formula and solve for b

That's

$230 = \frac{1}{2} ( 8 + b) 20$

Reduce the fraction with 2

That's

$230 = (8 + b) \times 10$

Expand the terms

That's

$230 = 80 + 10b$

$10b = 230 - 80 \\ 10b = 150$

Divide both sides by 10

We have the final answer as

b = 15cm

Hope this helps you