rhombus
area= 30 m^2
Lengths =
lengths of the diagonals differ by 4 meters
A= (Diagonal 1* diagonal2) / 2
Diagonla 1 (D) = 4 + diagonal2 (d)
D= 4 + d (the largest diagonl)
d= (the sorthest diagonal)
A= 30 = (4 + d) *d/2
30 *2 = 4d + d^2
0 = d^2 + 4d - 60 (two numbers that added together give 4 and multiplied 60)
0 = (d + 10 ) (d - 6)
d= -10
d= 6 (this is the positive option)
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Answer
d= 6
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A= (Diagonal 1* diagonal2) / 2
A= (6+4)* 6/2 = 30