Question

the perimeter of a rectangular swimming pool is 120m. if it's length is twice the breadth, then find the dimensions of the pool. please help me. i will mark you as brainliest.

Answer 1

✬ Length = 40 m ✬

✬ Breadth = 20 m ✬

Step-by-step explanation:

Given:

• Perimeter of rectangular swimming pool is 120m.
• Length of swimming pool is twice the breadth.

To Find:

• What are the dimensions of swimming pool?

Solution: Let the breadth of swimming pool be b cm. Therefore,

➟ Length = Twice of b

➟ Length = 2b

As we know that

★ Perimeter of Rectangle = 2(Length + (Breadth) ★

A/q

• Perimeter is 120 m.

$\implies{\rm }$ 120 = 2(Length + Breadth)

$\implies{\rm }$ 120 = 2(2b + b)

$\implies{\rm }$ 120 = 4b + 2b

$\implies{\rm }$ 120 = 6b

$\implies{\rm }$ 120/6 = b

$\implies{\rm }$ 20 = b

Hence,

➫ Breadth of swimming pool is b = 20 m.

➫ Length of pool = 2b = 2(20) = 40 m

___________

★ Verification ★

=> 2(Length + Breadth) = 120

=> 2(40 + 20) = 120

=> 2(60) = 120

=> 120 = 120

$\large\boxed{\texttt{Verified}}$

Answer 2

Given ,

• Perimeter of rectangle = 120 m
• The length is twice of the breadth

Let , breadth of rectangle be " x "

So , length = 2x

We know that , the perimeter of rectangle is given by

Perimeter = 2(l + B)

Thus ,

120 = 2(2x + x)

60 = 3x

x = 20

$\sf \therefore \underline{The \: dimensions \: of \: the \: pool \: are \: 40 \: m \: and \: 20 \: m}$