Question

The length of a rectangular plot of area 65 1/3 metre square is 12 1/4 metre. What is the width of the plot.​

Answer 1

Given :

Area of rectangular plot : 65⅓ metres

Length of the rectangle : 12¼ metres

To find :

The breadth of the rectangular field.

Solution :

Let's find the breadth of the rectangle by the formula of area of rectangle.

Breadth of the rectangle :

${\sf \dashrightarrow {Area}_{(Rectangle)} = Length \times Breadth}$

${\sf \dashrightarrow 65 \dfrac{1}{3} = 12 \dfrac{1}{4} \times B}$

${\sf \dashrightarrow \dfrac{196}{3} = \dfrac{49}{4} \times B}$

${\sf \dashrightarrow B = \dfrac{196}{3} \div \dfrac{49}{4}}$

${\sf \dashrightarrow B = \dfrac{196}{3} \times \dfrac{4}{49}}$

${\sf \dashrightarrow B = \dfrac{4}{3} \times \dfrac{4}{1}}$

${\sf \dashrightarrow B = \dfrac{4 \times 4}{3 \times 1}}$

${\sf \dashrightarrow B = \dfrac{16}{3}}$

Hence, the breadth of the rectangle is $\sf \dfrac{16}{3} \: metres$.

Verification

${\sf \dashrightarrow Area = Length \times Breadth}$

${\sf \dashrightarrow \dfrac{196}{3} = \dfrac{49}{4} \times \dfrac{16}{3}}$

${\sf \dashrightarrow \dfrac{196}{3} = \dfrac{49}{1} \times \dfrac{4}{3}}$

${\sf \dashrightarrow \dfrac{196}{3} = \dfrac{196}{3}}$

${\sf \dashrightarrow LHS = RHS}$