• # question_answer The ratio between the length and width of a field is 10 : 60 The area of the 3840 ${{\mathbf{m}}^{\mathbf{2}}}$. Find the difference between the length and width of the field. A)  32 m     B)  24 m          C)  20 m                           D)  18 m

(a): Let the length and width be $10x$and 6x. $\Rightarrow 10x\times x=3840$ $\Rightarrow 60\times 2=3840$ $\Rightarrow {{x}^{2}}=64$ $\Rightarrow x=8.$ $=10x-6x=4x=$difference between length and width =32.