Question

the perimeter of a rectangle is 200 cm if the breadth of a rectangle is 25cm find its length also find the area of the rectangle​

Answer 1

Answer:

Length of the rectangle is 75 cm

Area of the rectangle is 1875 cm²

Explanation:

Given

• Perimeter of the rectangle = 200 cm
• Breath of the rectangle = 25 cm

To Find

• Length of the rectangle
• Area of the rectangle

Solution

Perimeter = 2( Length + Breath )

200 cm = 2 ( Length + 25 cm )

200 cm /2 = Length + 25 cm

100 cm = Length + 25 cm

100 cm - 25 cm = Length

75 cm = Length

Length of the rectangle is 75 cm

Area = Length × breath

Area = 75 cm × 25 cm

Area = ( 75 × 25 ) cm²

Area = 1875 cm²

Area of the rectangle is 1875 cm²

Answer 2

⠀⠀⠀⠀⠀⠀⠀${\huge{\underbrace{\rm{Question}}}}$

The perimeter of a rectangle is 200 cm if the breadth of a rectangle is 25cm find its length also find the area of the rectangle

⠀⠀⠀⠀⠀⠀⠀⠀${\huge{\underbrace{\rm{Answer}}}}$

Given:

⠀

• perimeter of a rectangle is 200 cm

• the breadth of a rectangle is 25cm

⠀

To find:

⠀

• find the length of the rectangle.

• Also find the area of the rectangle

⠀

Solution:

⠀

perimeter of the rectangle is 200 cm and

the breadth of the rectangle is 25cm

We know that,

⠀

$\boxed{\bf{\pink{perimeter\:of\:a\:rectangle\:=\:2(l\:+\:b)}}}$

⠀

Where,

⠀

• l = length of the rectangle.

• b = breadth of the rectangle

⠀

According to the question,

⠀

⠀⠀⠀⠀⠀$\sf{:\implies 2(l+b)=200}$

⠀

⠀⠀⠀⠀⠀$\sf{:\implies (l+25)=\dfrac{200}{2}}$

⠀

⠀⠀⠀⠀⠀$\sf{:\implies (l+25)={\cancel{\dfrac{200}{2}}}}$

⠀

⠀⠀⠀⠀⠀$\sf{:\implies l+25=100}$

⠀

⠀⠀⠀⠀⠀$\sf{:\implies l=100-25}$

⠀

⠀⠀⠀⠀⠀⠀⠀$\boxed{\bf{\purple{:⟹\:l\:=\:75}}}$

⠀⠀

Therefore, length of the rectangle is 75 cm

⠀

Now,

We also know that,

⠀⠀⠀$\boxed{\bf{\pink{Area\:of\:a\:rectangle=(l×b)}}}$

Where,

• l = length of the rectangle

• b = breadth of the rectangle

⠀

.°. Area of the rectangle is = ( l × b )

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ( 75 × 25 ) cm²

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 1875 cm²

Hence, the area of the rectangle is 1875 cm²

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬