Question

the area of a room is 65 1/4m2.if breathis5 7/16 meters.what is lenth.

Answer 1

From question, Area of room = 65 ( 1 / 4 ) m²


Given, Breadth = 5 ( 7 / 16 ) m




$\bold{We \: \: know, \: \: Area \: \: of \: \: Rectangular \: \: room/box = Product \: \: of \: \: two \: \: unequal \: \: sides \: \: or \: \: Length × breadth}$



Hence, According to the information given in question,


$= > 65 \frac{1}{4} {m}^{2} = 5 \frac{7}{16} \times length \\ \\ => \frac{261}{4} = \frac{87}{16} \times length \\ \\ => \frac{ \frac{261}{4} }{ \frac{87}{16} } = length \\ \\ => \frac{261}{4} \times \frac{16}{87} = length \\ \\ \\ = > 3 \times 4 = length \\ \\ \\ \\ \\ \\ \bold{Hence, Length = 12 m}$

Answer 2

Heya !!





Breadth = 5 7/16 = 87/16 m




Let Length of room = X m.



Area of room = 65 1/4 = 261/4 m




Length × Breadth = 261/4



X × 87/16 = 261/4





X = ( 261 × 16 ) / ( 87 × 4 )




X = 3 × 4 = 12 m


Length of room = X = 12 m