Question

The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is

• A. $124c{m}^2$
• B. $118c{m}^2$
• C. $128c{m}^2$
• D. $112c{m}^2$

Answer 1

The correct option is C

$128c{m}^2$

Given, perimeter of a trapezium is 52 cm and each non-parallel side is of 10 cm. Then, sum of its parallel sides
= 52 - (10 + 10) = 52 - 20 = 32 cm
$\therefore$ Area of the trapezium $=\frac{1}{2}(a+b)\times h$
$=\frac{1}{2}\times 32\times 8$ $[\because h=8cmanda+b=32cm]$
$=128c{m}^2$