Question

A trapezium has an area of 570 cm², the height of the trapezium is 5 cm and the larger parallel side is twice in length as the smaller parallel side.Choose the correct option.

• A. Length of the larger side is 152 cm
• B. Length of the smaller side is 76cm
• C. Difference in the length of parallel sides is 76 cm
• D. All of these

Answer 1

The correct option is D

All of these

Let h be the height of the trapezium, a be the length of larger parallel side and b be the length of smaller parallel side.

Area of trapezium is given by:

A = $\frac{1}{2}$ × (a + b) × h

Since larger parallel side is twice in length as the smaller parallel side
$\Rightarrow$ a = 2b

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

$\Rightarrow$ A = $\frac{3bh}{2}$

$\Rightarrow$ 570 = $\frac{3\times b\times 5}{2}$

$\Rightarrow$ b= 76 cm

$\Rightarrow$ a = 2b = 2 × 76 =152 cm