Question

# The base of a parallelogram is thrice of its height .If the area of the parallelogram is 2187 sq.cm , find its height .

Hint:

### Given , the base of the parallelogram is thrice the height . find the relation and

use in the formula area of parallelogram = base × height

## The correct answer is: 27cm

### Ans :- 27 cm

Explanation :-given area of parallelogram = 2187 sq.cm

Step 1:-find the relation between height and base

Let height be h

Given , the base of the parallelogram is thrice the height i.e base = 3h.

Step 2:- Find the area of Parallelogram

Area of parallelogram = base × height = 3h × h = 3h^{2}

Therefore, the height of the parallelogram = 27 cm.

### Related Questions to study

Triangles ABC and DEF above are similar. How much longer than segment EF is segment DE ?

**Note:**

There are three ways to prove that two triangles are similar- AAA,

SAS, SSS.

AAA means that the corresponding angles are equal,

SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,

SSS means that all three corresponding sides have equal ratio

Triangles ABC and DEF above are similar. How much longer than segment EF is segment DE ?

**Note:**

There are three ways to prove that two triangles are similar- AAA,

SAS, SSS.

AAA means that the corresponding angles are equal,

SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,

SSS means that all three corresponding sides have equal ratio

### ABCD is a parallelogram and ' 0 ' is the point of intersection of its diagonals AC and BD. If the area of sq.cm , what is the area of the

### A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm, and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, Find the volume of the wood and that of the graphite?

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### The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms?

( 1 kilogram = 2.2046 pounds)

**Note:**

There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.

1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram

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### The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms?

( 1 kilogram = 2.2046 pounds)

**Note:**

There are many other units of weight such as ton, ounce, gram, stone, grain, milligram, etc. There is conversion formula for each of these pairs, for eg.

1 kilogram = 35.27 ounce= 0.16 stone= 1000 gram

1 pound= 16 ounce= 0.07 stone= 435.60 gram