Question

the length of a rectangle is 3 times its breadth if the area of the rectangle is 1875sq cm find its perimeter​

Answer 1

let the breadth be x cm

let the breadth be x cmthen length = 3x

as per the question,

$= > area \: \: \: \: = 1875 \\ = > 3x \times x = 1875 \\ = > {x}^{2} \: \: \: \: \: \: \: \: = 625 \\ = > x \: \: \: \: \: \: \: \: \: \:= \sqrt{625} \\ = > x\: \: \: \: \: \: \: \: \: \: = 25 \: cm \\ \\ breadth = 25 \: cm \\ length = 75 \: cm \\ \\ perimeter = 2(25 + 75) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 100 \\\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 200 \: cm$

Answer 2

Answer:

Permeter = 200 cm

Step-by-step explanation:

Let, the beadth be x, then

given, length = 3x cm

          breadth = x cm

  also, area = 1875 cm sq.

Since,        area = Length x breadth

Therefore, 1875 = 3x * x

                        1875 = 3x sq.

                        1875/3 = x sq.

                          625 = x sq.

                             x = 25 (since, underoot 625 is 25)

Therfore, length = 3 x 25 = 75cm

                Breadth = x = 25 cm

Now, perimeter = 2 x (l+b)

                          = 2 x (75 + 25)

                          = 2 x 100

                          = 200 cm

Hope it helps