Question

The length of rectangular reservoir is 450m. If the perimeter is 1200m.

Find it’s area in ares.​

Answer 1

Answer:

Given :-

• Length of reservoir = 450 m
• Perimeter of reservoir = 1200 m

To Find :-

Area

Solution :-

As we know that

$\sf \: Perimeter \: of \: rectangle = 2(l + b)$

$\sf \: 1200 = 2(450 + b)$

$\sf \: 1200 = 900 + 2b$

$\sf \: 1200 - 900 = 2b$

$\sf \: 300 = 2b$

$\sf \: B = \dfrac{300}{2}$

$\huge \bf \: B = 150 m$

Now,

Let's find its area

$\sf \: Area \: = l \times b$

$\sf \: Area = 450 \times 150$

$\sf \: Area = 67,500 \: m$

Answer 2

Given:-

• The length of rectangular reservoir is 450m.
• The perimeter is 1200m

To Find:-

• Find the area of rectangle.

Solution:-

We know that,

Perimeter of rectangle = 2( l + b )

️ ➭ 1200 = 2( 450 + b )

️ ➭ 1200 = 900 + 2b

️ ➭ 2b = 1200 - 900

️ ➭ 2b = 300

$\tt { \boxed{ \: b \: = \: 150m \: } }$

Now,

We have to find the area of rectangle.

️ ➭ Area of rectangle = l × b

️ ➭ Area of rectangle = 450 × 150

️ ➭ Area of rectangle = 6,750

Verification:-

️ ➭ 1200 = 2( 450 + b )

️ ➭ 1200 = 2( 450 + 150 )

️ ➭ 1200 = 2( 600 )

️ ➭ 1200 = 1200