Question

the area of the rectangle is 7 1/2. its breadth is 3 1/3 cm. what is the length side of the rectangle ​

Answer 1

Answer :-

• Length of the rectangle is 45/14 or 3 3/14.

Given :-

• Area of the rectangle = $\sf 7 \dfrac{1}{2}$
• Breadth of the rectangle = $\sf 3 \dfrac{1}{3}$

To find :-

• Length of the rectangle ?

Solution :-

We know that,

• Length of a rectangle = Area ÷ breadth.

$\rightarrow \sf Length = \dfrac{15}{2} \div \dfrac{7}{3}$

$\rightarrow \sf Length = \dfrac{15}{2} \times \dfrac{3}{7}$

$\rightarrow \sf Length = \dfrac{45}{14}$

$\sf (or) \: 3 \dfrac{3}{14}$

Hence, Length of the rectangle is 45/14 or 3 3/14.

Verification :-

We know that,

• Area = Length × breadth.

➥ $\sf \dfrac{15}{2}= \dfrac{7}{3} × \dfrac{45}{14}$

➥ $\sf \dfrac{15}{2}= \dfrac{7}{\cancel{3}} × \dfrac{\cancel{45}}{14}$

➥ $\sf \dfrac{15}{2}= \dfrac{7}{1} × \dfrac{15}{14}$

➥ $\sf \dfrac{15}{2}= \dfrac{\cancel{7}}{1}× \dfrac{15}{{\cancel{14}}}$

➥ $\sf \dfrac{15}{2}= \dfrac{1}{1} × \dfrac{15}{2}$

➥ 15/2 = 15/2

Hence, Verified.

Answer 2

Given:-

• Area of rectangle = $\sf7\dfrac{1}{2}$
• Breadth of rectangle = $\sf3\dfrac{1}{3}$

To Find:-

• Length of rectangle = ?

Solution:-

We know that,

• Length of rectangle = area ÷ Breadth of rectangle

$\sf \implies length = \frac{15}{2} \div \frac{7}{3} \\ \\ \sf \implies length = \frac{15}{2} \times \frac{3}{7} \\ \\ \sf \implies length = \frac{45}{14} = \sf3 \frac{3}{14}$

Hence,Length of the rectangle is 45/14 .