Question

The length of a rectangular plot is 9/2 times that of it’s breadth. If the area of the plot is 200 square meters, then what is it’s length?

Answer 1

Answer:

Step-by-step explanation:

ANSWER:-

Given:-

• Let the Breadth be x
• So , the length according to Question is $\frac{9x}{2}$.
• Area given is 200 square meters

We know that:-

$\sf{Area \ of \ Rectangle = length \times Breadth}$

$\sf{200 = \frac{9x}{2} * x}$

$\sf{200 = \frac{9x^{2}}{2}}$

$\sf{400 = 9x^2}$

$\sf{x^2 = \frac{400}{9}}$

$\sf{x = \frac{20}{3}}$

So, length will be :-

$\frac{9 \times\frac{20}{3}}{2}$

$= \frac{60}{2}$

So, length is 30 metres.

Note:-

• The area of an Rectangle is Length* Breadth
• The perimeter of Rectangle is 2(Length+Breadth)
• Do not convert fractions into decimals in midway
• Answer will be in decimal when it is the final answer.
• Do not forget to mention the unit.