Question

A rectangular playground is 10ft longer than its breadth. If perimeter is 80 ft, find its length and breath.
plz solve this

Answer 1

Answer:

Given that:

Area of the rectangular playground =195 m

2

.

To find:

Length =?, Breadth =?

Solution:

Let breadth of the rectangular playground =b

Length of the rectangular playground =(b+2)

Area of rectangular playground = Length × Breadth

⇒195=(b+2)×b

⇒195=b

2

+2b

⇒b

2

+2b−195=0

⇒b

2

+15b−13b−195=0

⇒b(b+15)−13(b+15)=0

⇒(b−13)(b+15)=0

⇒b=13 or b=−15

Value b of can't be negative. So b=13

Therefore, breadth of the rectangular playground =13 m

and length of the rectangular playground =15 m

Hope it helps you!!!!!