Question

Question 19

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

$\left(a\right)124c{m}^2$
$\left(b\right)118c{m}^2$
$\left(c\right)128c{m}^2$
$\left(d\right)112c{m}^2$

Answer 1

Given:
Perimeter of a trapezium = 52 cm,
Each non-parallel side = 10 cm and
Height of the trapezium = 8 cm.

Sum of parallel sides of trapezium
= (Perimeter of trappezium) - (Sum of its non-parallel sides)
= 52 - (10 + 10) cm
= 52 - 20 cm
= 32 cm

Area of the trapezium
$=\frac{1}{2}\times \left(Sumofparallelsides\right)\times height$
$=\frac{1}{2}\times 32cm\times 8cm$
$=128c{m}^2$