Question

The perimeter of a rectangle is 130cm.If the breadth of the rectangle is 30 cm, find its length. Also find the area of the rectangle.

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Answer 1

Answer:

Length= 35; Area=

$1050 {cm}^{2}$

Step-by-step explanation:

We know that Perimeter is the sum of all sides.

To find the perimeter of a rectangle, we add all the sides, which is

$l + l +b + b$

Here, only the breadth is known, so twice the breadth or, breadth plus breadth is equal to, 30cm + 30cm= 60cm.

Hence, we can derive that twice the length= 130cm - 60cm= 70cm.

Therefore, length= 70/2= 35cm.

Hence AREA=

$l \times b = 35cm \times 30cm = 1050cm ^{2}$

Answer 2

Given :-

• Perimeter = 130cm
• Breadth = 30cm

To Find :-

• Lenght and area of rectangle.

Solution :-

We know that ,

╔═══════════════╗

✪Perimeter of a rectangle=2(l+b)✪

╚═══════════════╝

Given that breadth of the reactangle = 30cm

Given that perimeter of reactangle = 130cm

2 (l + b) = 130

2(l + 30) = 130

2l + 60 = 130

2l = 130 - 60

2l = 70

l = 70/2

l = 35

l = 35cm

Area of a rectangle = L × B

= 35 × 30

= 1050cm²

Answer :-

Hence,

Length = 30 and Area = 1050cm²

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