Question

The length of the two parallel sides of a trapezium are 16 m and 20 m respectively. If its height is 10 m, its area in square metres is

A) 360 B) 260 C) 240 D) 180

Answer 1

ANSWER:

• Area of Trapezium = 180 m².

GIVEN:

• Length of parallel side of Trapezium are 16 m and 20 m.
• Height of Trapezium = 10 m.

TO FIND:

• Area of the Trapezium.

SOLUTION:

Formula:

$\implies \: area \: of \: trapezium \: = \dfrac{1}{2} (sum \: of \: parallel \: side) \times height.$

Putting the values in the formula:

$\implies \: area = \dfrac{1}{2} (16 + 20) \times 10 \\ \\ \implies \: area \: = 5 \times 36 \\ \\ \implies \: area = 180 \: m {}^{2}$

Area of Trapezium = 180 m².

NOTE:

Some important formulas:

(a+b)² = a²+b²+2ab

(a-b)² = a²+b²-2ab

(a+b)(a-b) = a²-b²

(a+b)³ = a³+b³+3ab(a+b)

(a-b)³ = a³-b³-3ab(a-b)

a³+b³ = (a+b)(a²+b²-ab)

a³-b³ = (a-b)(a²+b²+ab)

(a+b)² = (a-b)²+4ab

(a-b)² = (a+b)²-4ab