Question

a rectangular playground is 30 metres longer than its breadth if its perimeter is 300 find its area​

Answer 1

Answer:

area = 5400m^2

Step-by-step explanation:

l = 30+b ......... equation (1)

we know,

perimeter of rectangle =

$2(l + b)$

therefore,

$2((30 + b) + b) \\ \\ 2(30 + 2b) \\ \\ or \: 60 + 4b$

so, as we already know the perimeter i.e, 300,

$300 = 60 + 4b \\ \\ 300 - 60 = 4b \\ 240 = 4b \\ b = 60$

so b=60

and from equation (1)

L = 30+60

or L = 90

hence, Area of a rectangle is

$a = l \times b$

so

a= 90*60

$a = 5400 {m}^{2}$

Answer 2

Answer:

5400 m2

Step-by-step explanation:

l =x

b=x+30

p=300

perimeter formula=2(l+b)

X= 2(x+x+30)=300

2(2x+30)=300

4x+60=300

4x=300-60

4x=240

X=240÷4=60

l =60

b=60+30=90