Question

the perimeter of a rectangular sheet is 120 cm.if the 25 cm,find its breadth . also find the area​

Answer 1

➤ Correct Question :-

The perimeter of a rectangular sheet is 120 cm. If the length is 25 cm, find its breadth and area.

➤ Given :-

Perimeter of the rectangle :- 120 cm

Length of the rectangle :- 25 cm

➤ To Find :-

Breadth and area of the rectangle........

➤ Formula required :-

Breadth of the rectangle :-

$\tt \dashrightarrow \large{ \orange{ \boxed{ \tt\gray{ \frac{Perimetre}{2} - Length }}}}$

Area of the rectangle :-

$\tt \dashrightarrow \large{ \orange{ \boxed{ \tt \gray{Length \times Breadth}}}}$

➤ Solution :-

Breadth :-

$\tt \longrightarrow \dfrac{120}{2} - 25$

$\tt \longrightarrow \cancel \dfrac{120}{2} - 25 = \boxed{ \tt60 - 25}$

$\tt \longrightarrow35 \sf \: cm$

Now,

Area of the rectangle :-

$\tt \longrightarrow35 \times 25$

$\tt \longrightarrow875 \: { \sf{cm}}^{2}$

$\Huge\therefore$The Breadth of the rectanglular sheet is 35 cm and area of the rectanglular sheet is 875 cm².

━━━━━━━━━━━━━━━

More to know………

• Area and perimetre is one of the problems in mathamatics. They are used to measure the boundary and space occupied of an object.
• It is very helpful in fencing of parks, making of tables etc… They are commonly used in many of the ways.

Answer 2

Given:-

• The perimeter of rectangular sheet is 120cm.
• Lenght is 25 cm .

To Find:-

• Its breadth and area.

Formula Used :-

Perimeter of rectangle is Given by ,

$\boxed{\boxed{\red{\sf Perimeter_{rectangle}=2(l+b)}}}$

Area of rectangle is Given by ,

$\boxed{\boxed{\red{\sf Area_{rectangle}=(lenght)(breadth)}}}$

Answer :-

Let us take the breadth be x . Now given that , lenght is 25cm and Perimeter 25cm .

Atq,

$=> Perimeter=2(l+b)\\=> 120cm = 2(25cm + x )\\=> 120cm = 50cm + 2x\\=> 120cm - 50cm = 2x \\=> 2x = 70cm \\=> x =\dfrac{70cm}{2}\\\bf => x = 35cm$

Finding area ,

$=> Area = (lenght)(Breadth) \\=> Area = 35cm\times 25cm \\=>\bf Area = 875 cm^2$

Hence the area is 875 cm²