Question

it is possible to design a rectangular children park whose length is three times its breadth and area equal to 2700m? if so, then find its length and breadth​

Answer 1

Step-by-step explanation:

Hope this will help you...Please mark this answer as the brainliest..

Answer 2

★ Given :

• The length is times the breadth
• Area of rectangular feild is 2700 m².

★ To Find :

We have to find that it is possible to design a rectangular children park whose length is three times its breadth and area equal to 2700 m². If yes, then find its length and breadth

★ Explanation :

Let the breadth of the rectangle be x m.

So,

Length = 3x

Now, as we have to find the length and breadth of the rectangular park where area is given to us then we can canculate the length and breadth by using the formula to calculate the area of rectangular park.

$\large{\star{\underline{\boxed{\sf{Area = Length \times Breadth}}}}}$

$\sf{\dashrightarrow 2700 = 3x \times x} \\ \\ \sf{\dashrightarrow 2700 = 3x^2} \\ \\ \sf{\dashrightarrow x^2 = \dfrac{2700}{3}} \\ \\ \sf{\dashrightarrow x^2 = 900} \\ \\ \sf{\dashrightarrow x = \sqrt{900}} \\ \\ \sf{\dashrightarrow x = \pm 30}$

As, Length can't be negative so breadth of 30 m

Length = 3x = 3(30) = 90 m

$\large{\star{\underline{\boxed{\sf{Breadth = 30 \: m}}}}}$

$\large{\star{\underline{\boxed{\sf{Length = 90 \: m}}}}}$

Yes, it can possible to design a rectangular children park whose length is three times its breadth and area equal to 2700 m²