Question

Area of a rectangular field is 27000 sq.m and the ratio of its length and bredth is 6:5. Find its perimeter.

Answer 1

given data :-

area of rectangular field =27000 sq.metre.

ratio of length and breath is 6:5.

to find perimeter of it ,we need both the sizes of field. so let the value of ratio be x .

then - it will be 6x and 5x.

now according to question :-

equation will be .6x × 5x = 27000

x × x =27000 ÷ (6 × 5)

x × x= 27000÷30

x × x= 900.

then x square =900

so x= root of 900 that is 30.

so value of x =30 then we have to find the side are:-

length = 6x = 6 ×30 =180 m

breath =5x = 5×30=150 m

then at last we have to find perimeter of a rectangular field .

perimeter of rectangular field =2( l + b).

=2 ( 180 +150 )

=2(330)

=660m.

so perimeter of this is 660 m