Question

. Area of a rhombus with diagonals 12cm and 7 cm is ______ sq.cm *

Answer 1

Let a & b are length of diagonal then

Let a & b are length of diagonal thena+b=12 ________ (1) (Given)

Let a & b are length of diagonal thena+b=12 ________ (1) (Given)perimeter of diagonal =2

−8a−4a+32=0

−8a−4a+32=0a(a−8)−4(a−8)=0

−8a−4a+32=0a(a−8)−4(a−8)=0(a−4)(a−8)=0

−8a−4a+32=0a(a−8)−4(a−8)=0(a−4)(a−8)=0[a=4 or a=8]

−8a−4a+32=0a(a−8)−4(a−8)=0(a−4)(a−8)=0[a=4 or a=8]from equation (1) [b=8 or 4]

−8a−4a+32=0a(a−8)−4(a−8)=0(a−4)(a−8)=0[a=4 or a=8]from equation (1) [b=8 or 4]∴ length of diagonals are 4 cm and

Answer 2

Answer:

We know that area of rhombus 1/2 x[product of its diagonals]

According to the question:

Area=1/2x12x7

=1/2x84

=42 sq cm