Question

is it possible to design a rectagular mango grove whose length is twice its breadth and the area is 800m^2? if so find its lenght and breadth.

Answer 1

here you go ☆☆

let breadth=b
length=2b

area=l×b

800=b×2b
$800 = 2 {b}^{2}$

$\frac{800}{2} = {b}^{2}$

${b}^{2} = 400$
b=20m
l=2b
= 40m

hope it helps you....

Answer 2

$\huge\mathcal\colorbox{black}{{\color{yellow}{ANSWER☆~~~}}}$

Let the time taken by the smaller pipe to fill the tank = x hr.

Time taken by the larger pipe = (x – 10) hr

Part of tank filled by smaller pipe in 1 hour = 1/x

Part of tank filled by larger pipe in 1 hour = 1/(x – 10)

As given, the tank can be filled in

NCERT Solutions for Class 10 Chapter 4- 2 = 75/8 hours by both the pipes together.

Therefore,

1/x + 1/x-10 = 8/75

x-10+x/x(x-10) = 8/75

⇒ 2x-10/x(x-10) = 8/75

⇒ 75(2x – 10) = 8x2 – 80x

⇒ 150x – 750 = 8x2 – 80x

⇒ 8x2 – 230x +750 = 0

⇒ 8x2 – 200x – 30x + 750 = 0

⇒ 8x(x – 25) -30(x – 25) = 0

⇒ (x – 25)(8x -30) = 0

⇒ x = 25, 30/8

Time taken by the smaller pipe cannot be 30/8 = 3.75 hours, as the time taken by the larger pipe will become negative, which is logically not possible.

Therefore, time taken individually by the smaller pipe and the larger pipe will be 25 and 25 – 10 =15 hours respectively.