Question

14) The length of a rectangular park is
4 m more than thrice its breadth.
What is the length and breadth of the
pool if its perimeter is 420 m. (3
marks) (Type your answer with all the
steps)
Р​

Answer 1

Answer:

Step-by-step explanation:

let the breadth of the park be x.

Then its length = 3x+4

perimeter of rectangle = 2(l+b)

⇒ 420 = 2(x+3x+4)

⇒ 420 = 2(4x+4)

⇒ 420 = 8x+8

⇒ 8x = 420-8

⇒ 8x = 412

⇒ x = [tex]\frac{412}{8}[/tex}

⇒ x = 51.5

So, the breadth of the park = 51.5 m

And the length of the park = 3×51.5 + 4 = 154.5+4 = 158.5 m