Question

The length of a rectangle football ground,
is twice its width. Its perimeter is
equal to perimeter of square field of
side 90m. Find the area of the
ructangular football ground giving
your answer in hectares ​

Answer 1

let the breath of the rectangular football field be "d".

so length be 2d

perimeter= 2( l+b)

=2( 2d+d )

=2×3d

=6d

Since, the perimeter of square = the perimeter of rectangular football field

so 4×90=6d

=360/6=d

d= 60m

so 2d= 120 m

now, area of rectangular football field = l×b= 60×120= 7200m=0.72 hectare

Answer 2

Answer:

the area of the rectangular football ground in hectares is 0.045 hectares.

Step-by-step explanation:

Let, the length of the rectangular football is "L", its width be "B" and its perimeter be "R".

Given, L = 2 B and R = 90 m .

But we know that perimeter of the rectangle (R) is 2(L + B).

i.e. R = 2(2 B + B ) = 90 m

⇒ 3 B = 45

⇒ B = 15 m

As L = 2 B

So, L = 30 m

Now, the area of the rectangle (R) = L × B.

⇒ R = 30 m × 15 m

⇒ R = 450 $m^2$

Therefore, the area of the rectangular football ground in hectares is 0.045 hectares (as $1 m^2 = 10^{-4} hectares$).

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