Question

The base of the parrellogram is thrice its height. If the area is 192 sq. cm.Find base and height Inthe floor or no​

Answer 1

Step-by-step explanation:

➩ $\bf\large\underline{\underline{\red{Given \: Question :}}}$

• The base of the parrellogram is thrice its height. If the area is 192 sq. cm.Find base and height of the floor ?

➩ $\bf\large\underline{\underline{\red{To \: Find :}}}$

• base and height of the floor.

➩ $\bf\large\underline{\underline{\red{Answer :}}}$

• Height = 8cm
• Breadth = 24cm

➩ $\bf\large\underline{\underline{\red{Solution :}}}$

Let us assume :

• Height = h
• Base = b

➩ $\sf ATQ, h = \frac{1}{3} b$

As we know,

$\sf\red{Area \: of \: parallelogram =base × height}$

b × h = 192

$\implies\sf b \times \frac{1}{3}b = 192$

$\implies b² = 192 × 3$

$\implies b² = 576$

$\implies\sf b = \sqrt{576}$

$\implies\sf b = 24 cm$

$\sf\large\pink{∵ h = \frac{1}{3}b}$

$\implies\sf h = \frac{1}{3} \times 24$

$\implies\sf h = 8 cm$

➾ Height of the parallelogram = h = 8cm

➾ Base = b = 24cm.