Math, asked by velpulanagdevi, 9 months ago

find the area of a rhombus if its perimeter is 400m and the smallest diagonals is 160m​

Answers

Answered by ashauthiras
2

Answer:

Perimeter = 400 m (Given)

Find the length:

Perimeter = 4 x Length

4 x Length = 400

Length = 400 ÷ 4 = 100 m

Find half of the other diagonal:

a² + b² = c²

a² + (160 ÷ 2)² = 100²

a² + 80² = 100²

a² = 100² - 80²

a² = 3600

a = √3600

a = 60 m

Find the diagonal:

diagonal = 60 x 2 = 120 m

Find the area:

Area = 1/2 ( diagonal 1 x diagonal 2 )

Area = 1/2 (160 x 120) = 9600 m²

Answered by EKAANSHCHANDAK2345
0

Answer:

Step-by-step explanation:

A=9600m²

Hope this answer will help you

Similar questions