Question

The parallel side of a trapezium are 16 cm and 20 cm respectively and its area is
144 sq. cm. Find the distance between its parallel sides?​

Answer 1

Step-by-step explanation:

For trapezium ,

Area = 1/2 × (Sum of parallel sides ) × parallel distance

144 = 1/2 × ( 16 + 20 ) × parallel distance

288 = 36 × parallel distance

parallel distance = 288/36 = 8 cm

Answer 2

ANSWER:

• Distance between parallel sides = 8cm

GIVEN:

• Parallel side of a trapezium are 16 cm and 20 cm
• Area of Trapezium = 144cm²

TO FIND:

• Distance between parallel sides.

SOLUTION:

Formula

Area of Trapezium is given by :

$= \dfrac{1}{2} (sum \: of \: parallel \: sides) \times height$

Putting the values we get;

$\implies \: \frac{1}{2} (16 + 20) \times h \: = 144 \\ \\ \implies \: \frac{1}{2} (36) \times h = 144 \\ \\ \implies \: 18 \times h = 144 \\ \\ \implies \: h = \frac{144}{18} \\ \\ \implies \: h = 8 \: cm$

• Distance between parallel sides = 8cm

NOTE:

some important formulas:

• Area of parallelogram = Base * Altitude
• Area of rhombus = (sum of their diagonal)/2
• OR (Base * Altitude)
• Area of square = (Side)²