Question

the length of a rectangular plot of a area 65 1/3 m2 is 12 1/4m.What is the width of the plot?
a. 5 2/3
b. 5 1/3
c. 5 3/2
d. 5

Answer 1

Given area of rectangular plot is 65 (1/3) m^2 = (196/3) m^2

Length of the same plot is 12 (1/4) m = (49/4) m

Width of the plot is

Area = length × breadth

(196/3) = (25/2) × breadth

Breadth = (196/3)/ (25/2)

= (196 × 4)/ (49 × 3) = (184/147)

= 5 (3/4)

Answer 2

$\LARGE{\underline{\red{\sf{Solution:-}}}}$

GivEn :-

Length of the rectangular plot = 12 ( 1 / 4 ) m

Area of plot = 65 ( 1 / 3 ) m²

To finD :-

The width of the plot.

Steps :-

Firstly, convert mixed fraction into improper fraction.

Length = 12 ( 1 / 4 ) m = 49 / 4 m

Area = 65 ( 1 / 3 ) m² = 196 / 3 m²

Now, let's find the width,

Area of rectangle = Length × breadth ( width )

( 49 / 4 ) = ( 196 / 3 ) × breadth

Breadth = ( 49 / 4 ) ÷ ( 196 / 3 )

Breadth = 184 / 147

Breadth = 5 ( 3 / 4 )

Therefore, width of the rectangular plot is equals to 5 ( 3 / 4 ) m.