Question 1 of 16, The area of a trapezoid is 189 cm . The height is 14 cm and the length of one of the parallel sides is 8 cm. Find the length of the second parallel side.

Question

asked Nov 26, 2021 115k views

1 Answer

Fuzzzzel · Answer 1 · 2021-12-02T17:00:55+0000

Answer:

19cm

Explanation:

The area of a trapezoid
$=\frac12(a+b)h$ (where a and b are the parallel sides).

Given:

Area = 189 Square cm

Height, h=14cm

a=8cm

We want to find the value of the other parallel side, b.

Substitution of the given values gives:

$189=\frac12(8+b)14\\189=7(8+b)\\$Divide both sides by 7\\8+b=27\\Subtract 8 from both sides\\b+8-8=27-8\\b=19cm$

The length of the second parallel side is 19cm.