Question

the area of a square field is 5184 m². A rectangular field, whose length is twice its breadth, has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.​

Answer 1

Answer:

Given: area of square =5184m

2

∴ Side of square =72m(to find side do prime factorisation (

The perimeter of square =4×72=288m

Let breadth of rectangle =xm

∴ Length of rectangle =2xm

Now, perimeter of rectangle= Perimeter of a square

⇒2(l+b)=288m

⇒2(2x+x)=288

⇒x=

6

288

=48m

∴ Length =2×48=96m, Breadth =48m

i have edited hope it helps

Therefore area of rectangle =l×b=96×48=4608m

2

Answer 2

$\pink{ \underline{ \boxed{ \sf { \bigstar \: Question}}}}$

the area of a square field is 5184 m². A rectangular field, whose length is twice its breadth, has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.

$\red { \underline{ \boxed{ \sf { \bigstar \: Solution}}}}$

ATQ,

Perimeter of the square field = perimeter of the rectangular field

Given area of the square field = 5184m²

We know that,

Side² = area of a square

➡ side² = 5184m²

➡ side = √5184

➡ side = 72m

Thus it's perimeter = 4 × side (since a square has 4 equal sides)

= 4 × 72

= 288m

Therefore the perimeter of the rectangle is also 288m.

Now it's given that the length of the rectangular field is twice it's breadth.

Let the breadth of the rectangular field be x.

Therefore it's length = 2x

➡ 2 ( length + breadth ) = 288m

➡ 2(2x + x) = 288m

➡ 6x = 288m

➡ x = 288/6

➡ x = 48m

The dimensions of the rectangular field are :-

breadth = x = 48m

length = 2x = 96m

Hence, it's area = length × breadth

= 48 × 96

= 4608m² Final answer