Question

the length of the rectangle is 4 cm more than its breadth the perimeter of the rectangle is 40cm find the length and breadth of the rectangle ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Solution:-

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$\implies$ Here it is given in the question that the length of a rectangle is 4cm more than its breadth and the perimeter of the given rectangle is 40 cm. Now, the question has asked us to find out the length and breadth of the rectangle. So, to find the length and breadth follow the steps shown below.

⋆ HOW TO DO:-

◍ As mentioned in the question that the length is 4 cm more than the breadth. So, here we have to form an equation. As here perimeter have been given to us, by applying the formula of perimeter we will find the length and the breadth.

◍ Let the length be x + 4 cm.

◍ Let the breadth be x cm.

◍ Equation:- 40 cm = 2×[(x + 4) + x]

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ANSWER:-

↦ The length is 12 cm and the breadth is 8 cm.

GIVEN:-

↦ Perimeter of rectangle = 40 cm

TO FIND:-

↦ Length of rectangle = ?

↦ Breadth of rectangle = ?

FORMULA:-

◍ Perimeter of rectangle = 2(L + B) [For finding the length and breadth]

SOLVING BY APPLYING THE FORMULA:-

↦ Perimeter of rectangle = 40 cm

◍ Perimeter of rectangle = 2(L + B) [For finding the length and breadth]

• Finding the length and breadth:-

↦ 40 cm = 2[(x + 4) + x]

↦ 40 cm = 2 (x + 4 + x)

↦ 40 cm = 2 (2x + 4)

↦ Transposing 2 to L.H.S.

↦ 40 / 2 cm = 2x + 4

↦ 20 cm = 2x + 4

↦ Transposing 4 to L.H.S.

↦ 20 cm - 4 = 2x

↦ 16 cm = 2x

↦ Transposing 2 to L.H.S.

↦ 16 / 2 cm = x

↦ 8 cm = x

↦ x = 8 cm

Thus, the value of x is 8 cm.

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• Finding the length:-

↦ We assumed Length as x and as it is given in the question that the length is 4 cm more than the breadth.

So,

↦ Length = x + 4 cm

↦ Length = 8 cm + 4 cm

↦ Length = 8 cm + 4 cm = 12 cm

↦ Length = 12 cm

• Finding the breadth:-

↦ We assumed breadth as x. As after solving we got the value of x that is 8 cm.

So,

↦ Breadth = 8 cm

Thus, we got the answer. The length is 12 cm and the breadth is 8 cm.

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