Question

The length of Karim uncle plot of land is twice its breadth and its area is 578sq.m.Let us find the length,breadth and perimeter of Karim uncle land​

Answer 1

Answer:

Lenght=34 m;breadth=17 m and perimeter=102 m

Given:

Lenght of land is twice it's breadth

And area of land is 578 m^2

To find:

Lenght,Breadth and perimeter

Solution:-

Let breadth be x and lenght be 2x

We know that

Area of Rectangle=lenght×breadth

$578 = x \times 2x$

$578 = 2 {x}^{2}$

$\frac{578}{2} = {x}^{2}$

$289 = {x}^{2}$

$x = {289}^{2}$

$x = 17 \: m$

___________________

Breadth=17 m

Lenght=17 × 2 =34 m

Perimeter=2(l+b)

=2(34+17)

=2(51)

=102 m

Answer 2

Given :

Area of rectangle = 578 m² and length of the plot is twice it's breadth.

Find :

Length, breadth and perimeter of the rectangle

Solution :

Let length be "M" m.

So,

=> Breadth = "2M" m

Now,

Area of rectangle = length × breadth

=> 578 = M × 2M

=> 578 = 2M²

=> 2M² = 578

=> M² = 289

=> M = 17

So,

• Length = 17 m

• Breadth = 2(17)

=> 34 m

• Perimeter = 2(l + b)

=> 2(17 + 34)

=> 2(51)

=> 102 m

∴ Length of the rectangle is 17 m, Breadth is 34 m and Perimeter is 102 m.