# The Area of Rhombus Is 480cm^2 , and One of Its Diagonal Measures 48 Cm. Find (I) the Length of the Other Diagonal, (Ii) the Length of Each of the Sides (Iii) Its Perimeter - Mathematics

The area of rhombus is  480cm^2 , and one of its diagonal measures 48 cm. Find

(i) the length of the other diagonal,

(ii) the length of each of the sides

(iii) its perimeter

#### Solution

(i) Area of a rhombus, = 1/2xxd_1xxd_2, Where d_1  and  d_2 are the lengths of the diagonals.

⇒ 480=1/2xx48xxd_2

⇒d_2=(480xx2)/48

⇒ d_2=20 cm

∴ Length of the other diagonal=20cm

(2) side=1/2 sqrt(d_1^2-d_2^2)

= 1/2sqrt(48^2+20^2)

=1/2sqrt(2304+400)

=1/2sqrt2704

=1/2xx52

=26 cm

∴ Length of the side of the rhombus =26cm

(iii) Perimeter of the rhombus=4xx"side"

=4xx26

=104 cm

Concept: Circumference of a Circle
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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 17 Perimeter and Areas of Plane Figures
Q 34