Question

A rectangular plot is half as long again as it is broad. The area of the plot is 2/3 hectares. The length of the plot is

Answer 1

thanks for asking the question answer is in the picture

Answer 2

The length of the plot is 100 m.

Step-by-step explanation:

Consider the provided information.

Let the breadth of the plot is 'b' meters.

A rectangular plot is half as long again as it is broad.

length =  $b+\frac{b}{2}=\frac{3b}{2}$

The area of the plot is 2/3 hectares.

$b \times\frac{3b}{2}=\frac{2}{3} \times 10000$

$9b^2=40000$

$b^2=\frac{40000}{9}\\b=\frac{200}{3}$

Hence, the breadth of the plot is $\frac{200}{3}$ m.

Therefore, the length is: $\frac{3\times\frac{200}{3}}{2}=100$

Hence, the length of the plot is 100 m.

#Learn more

Find the area and perimeter of the rectangle?

https://brainly.in/question/5950742