Question

the perimeter of a rectangle is 84 cm and it's length is 23 cm. find it's breadth and the area of the rectangle​

Answer 1

Answer:

Perimeter of rectangle=2(l+b)

84 = 2 ×23+b

84/2=23+b

42-23=b=19

area of rectangle=l×b=23×19=437 cm²

Answer 2

Answer:

Given :-

• The perimeter of a rectangle is 84 cm and it's length is 23 cm.

To Find :-

• What is the area of the rectangle.

Formula Used :-

★ Perimeter of rectangle = 2(l + b) ★

✯ Area of rectangle = l × b ✯

where,

• l = Length
• b = Breadth

Solution :-

➦ To find breadth of a rectangle,

Let, the breadth be x

Given :

• Length = 23 cm
• Perimeter = 84 cm

According to the question by using the formula we get,

⇒ 2(23 + x) = 84

⇒ 46 + 2x = 84

⇒ 2x = 84 - 46

⇒ 2x = 38

⇒ x = 38/2

➠ x = 19 cm

∴ The breadth of a rectangle is 19 cm .

➦ To find area of a rectangle,

Given :

• Length = 23 cm
• Breadth = 19 cm

According to the question by using the formula we get,

↦ Area = 23 cm × 84 cm

➤ Area = 437 cm²

∴ The area of a rectangle is 437 cm² .