Question

The area of a parallelogram is 216 cm square and the base is 6 times the height. Find the parallelogram’s height.

Answer 1

Given :-

• Area of Parallelogram = 216cm²
• Base is 6 times the height

To find :-

• Height of Parallelogram

Solution :-

As we know that

Area of Parallelogram = base × height

Let the height be x then its base be 6x

According to the question

→ 216 = 6x*x

→ 6x² = 216

→ x² = 216/6

→ x² = 36

→ x = √36

→ x = 6 cm

Hence,

• Height of cylinder is 6cm

Extra Information

• Area of rectangle = length × breadth
• Area of square = side × side
• Perimeter of square = 4 × side
• Perimeter of rectangle = 2(length + breadth)
• Area of rhombus = ½ × product of diagonals
• Area of trapezium = ½ × sum of parallel sides × height

Answer 2

Given ,

• The area of a parallelogram is 216 cm²

• The base of parallelogram is 6 times the height

Let ,

• The height of parallelogram be " x "

We know that , the area of parallelogram is given by

$\boxed{ \sf{Area = base \times height}}$

Thus ,

$\sf \mapsto 216 = x \times 6x \\ \\ \sf \mapsto {(x)}^{2} = 36 \\ \\ \sf \mapsto x =± 6 \: m$

Since , the length can't be negative

$\therefore \underline{ \sf{ The \: height \: of \: parallelogram \: is \: 6 \: m}}$