Math, asked by prakharsoumil, 1 month ago

find the area of a rhombus whose perimeter is 80 m

Answers

Answered by anilsawant864
0

Answer:

400m^2

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Answered by pushkardigraskar2005
0

Question:

find the area of a rhombus whose perimeter is 80 m

Answer:

The area of the rhombus is 384m²

Step-by-step explanation:

Given : Rhombus whose perimeter is 80 m and one of whose diagonal is 24m.

To find : The area of rhombus?

Solution :

Let p and q are the diagonals of rhombus.

Let a be the side of the rhombus.

Perimeter of rhombus = 4 × side

Side of the rhombus  = a = √p² + q²

Area of rhombus is  = a = 1/4p × √4P² -4p²

Where P is the perimeter P=80

And p is the diagonal = 24 m

Substitute the value in the formula,

A = 1/4p × √P² - 4p²

A = 1/4 × 24 × √ 80² - 4(24)²

A = 6 √6400 - 2304

A = 6 × 64

A = 384m²

Therefore, The area of the rhombus is 384m².

Hope you understand.

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