Question

a parallelogram and a rhombus are in equal area the diagonal of the Rhombus is 48 metre and and 36 metre respectively.If one of the side of the parallelogram is 54 metre,find its corresponding altitude.​

Answer 1

Answer:

$\bigstar{\bold{Altitude\:of\:the\:parallelogram=32\:m}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• First diagonal of a rhombus = 48 m
• Second diagonal of a rhombus = 36 m
• A side of the parallelogram = 54 m

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• The altitude of the parallelogram

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ First we have to find the area of the rhombus

→ Area of the rhombus is given by,

  Area of the rhombus = First diagonal × Second diagonal/2

→ Substituting the given datas we get,

  Area of the rhombus = 48 × 36

  Area of the rhombus = 1728 m²

→ Now we have to find the area of the parallelogram

→ Area of the parallelogram is given by

 Area of the parallelogram = base × height

→ Substituting the base we get,

  Area of the parallelogram = 54 × h

→ By given we know that

  Area of rhombus =  Area of the parallelogram

→ Hence

  54 × h = 1728

  h = 1728/54

  h = 32 m

→ Hence the altitude of the parallelogram is 32 m

$\boxed{\bold{Altitude\:of\:the\:parallelogram=32\:m}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ Area of a rhombus is given by

  Area of a rhombus = d₁ × d₂/2

 where d₁ and d₂ are the diagonals

→ Area of a parallelogram is given by

  Area of a parallelogram = base × height

Answer 2

Answer:

The 2nd altitude is 16m

Step-by-step explanation:

GIVEN

First diagonal of a rhombus =48m

2nd diagonal of rhombus =36m

Side of a parallelogram =54m

First of all we have to find the area of rhombus

Area of rhombus = 1st diagonal × 2nd diagonal/2

= 1728/2

= 864

According to question. Area of rhombus = Area of parallelogram

Area of parallelogram = Base × Height =B ×H

864 = 54×h

864/54. = H

16

H=16 m

The 2nd altitude is 16m

I hope it's help you all and pls... mar me as a brainiest