Question

If the perimeter of a rhombus is 400m and one diagonal is 160 m long find the area of the rhombus

Answer 1

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

Answer 2

9600m².........answer.