Question

The perimeter of a rectangular field is 3/4km.if length of the field is twice its width,find its area in sq metres

Answer 1

ATQ,

The length of a rectangular field is twice it's breadth (width).

Let the breadth of the rectangle be x.

Therefore it's length = 2x

Given perimeter of the rectangle = 3/4 km = 750m

We know that,

2(length + breadth) = perimeter of a rectangle

➡ 2(2x + x) = 750m

➡ 2 × 3x = 750m

➡ 6x = 750m

➡ x = 750/6

➡ x = 125m

Dimensions of the rectangular field :-

• Breadth = x = 125m

• Length = 2x = 2 × 125 = 250m

Hence, it's area = length × breadth

= 125 × 250

= 31250m² Final answer

Answer 2

Answer:

Suppose the breadth of a rectangle = X

and the length of Rectangle = 2x

The perimeter of Rectangle

= 3/4 km

= 750 m

= Formula of the Perimeter of Rectangle :

= 2( length + breadth )

= 2(2x + x) = 750

= 2 × 3x = 750

= 6x = 75

= x = 750/6

x = 125 m

The breadth of Rectangle = 125m

The length of Rectangle = 2x

= 2 × 10

= 250m