a) Area of rhombus = ½ * (diagonal1)*(diagonal 2)
Let diagonal (D2 )= longer diagonal = 15 and diagonal (D1) = shorter diagonal
90 = ½ (D1)*15
90 = 7.5 D1
Now divide both side by 7.5
90/7.5 = d1
D1= 12 units.
b) Area of rhombus = ½ * (diagonal1)*(diagonal 2)
Let the ratio be [tex] x [/tex]
Diagonal 1= [tex] 2x [/tex]
Diagonal 2= [tex] 3x [/tex]
147 = ½ * [tex] (2x)*(3x) [/tex]
Multiply both side by 2
294 = [tex] (2x)*(3x) [/tex]
294 = 6[tex] x^2 [/tex]
Divide both side by 6
294/6 = 6[tex] x^2 [/tex]/6
49 = [tex] x^2 [/tex]
[tex] x [/tex]= 7 unit
