Question

a playground is 30m longer than its wide. if it is perimeter is 300m, what is its area​

Answer 1

Step-by-step explanation:

let the breadth of playground be x.

so, the length of the playground=x+30

perimeter of the playground=300

x+(x+30)=300

x+x+30=300

2x+30=300

2x=300-30

2x=270

x=270/2

x=135

breadth of playground=x=135m

length of playground =x+30=135+30=165m

area of the playground=l×b

=165m×135m

=22275m^2

Answer 2

Area would be 5400 sq. m.

Step-by-step explanation:

Since we have given that

Let the length of playground be 30+x

Let the width of playground be x

Perimeter  = 300 m

According to question, we get that

$Perimeter=300\\\\2(x+x+30)=300\\\\2x+30=150\\\\2x=150-30\\\\2x=120\\\\x=\dfrac{120}{2}\\\\x=60\ m$

So, Length becomes 60+30=90 m

So,Area of playground would be

$Length\times breadth\\\\90\times 60\\\\=5400\ m^2$

Hence, Area would be 5400 sq. m.

# learn more:

A playground is 40m longer than it is wide if its perimeter is 272m what is its area?

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