Question

The perimeter of a rectangle is 28cm, if the breadth is 4cm, find the Area​

Answer 1

Answer:

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Answer 2

Concept

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given

• The perimeter of rectangle given is 28cm
• The breadth given is 4cm

Find

We need to find the area of rectangle

Solution

Given

Perimeter of rectangle  = 28 cm

Breadth = 4 cm

Let the length be x

We know that Perimeter of Rectangle = $2(l+b)$

∴ 28 = 2(4+x)

∴ 28 = 8+2x

∴28-8= 2x

∴ 20 = 2x

∴ x = 10cm

Hence the length is 10cm

Now we need to find the area of rectangle

The area of rectangle is length * breadth

∴ Area = 10*4 = 40cm^2

Hence the area of the rectangle is 40cm^2

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