Question

the length of a rectangle is 5cms more than its breadth if the perimeter of the rectangle is 96 cms find the length and breadth

Answer 1

Answer:

Length = 26.5 cm.

Breadth = 21.5 cm.

Explanation:

This question is fully based on equation. First you have to assume breadth and length by any variable i.e. x,y,z etc. After that, according to the condition whatever you have assumed that you have to put in the formula of perimeter of rectangle. After putting one equation will be formed. You have to solve that equation. And when you will get the value of variable then just put the value of variable where you have assumed before.

Solution:

Let

• The breadth of a rectangle = y cm.
• The length of a rectangle = y + 5 cm.

Perimeter of a rectangle = 2(length + breadth)

Putting known values in the formula

=> 96 = 2(y + 5 + y)

=> 96 = 2(2y + 5)

=> 96 = 4y + 10

=> 4y = 96 - 10

=> 4y = 86

=> y = 86/4

=> y = 21.5 cm.

Therefore,

• Breadth of rectangle = y = 21.5 cm.
• Length of rectangle = y+5 = 21.5+5 = 26.5cm.

Verification

Perimeter of a rectangle = 2(length + breadth)

=> 96 = 2(26.5 + 21.5)

=> 96 = 53 + 43

=> 96 = 96

Hence, verified.

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Answer 2

Step-by-step Explanation:

Let us assume,

• The breadth of rectangle be x.
• The length of rectangle should be x + 5cms.

Given that,

• The perimeter of rectangle is 96cms.

Since we know that,

• The perimeter of rectangle = 2(length + breadth)

So we can say that,

• ➠ 2(length + breadth) = 96cms
• ➠ 2{(x) + (x + 5cms)} = 96cms
• ➠ x + x + 5cms = 96/2 cms
• ➠ 2x = 48cms - 5cms
• ➠ x = 43/2 cm or 21.5 cms

As we assumed,

• The breadth of rectangle is 21.5 cms.

And

• The length of rectangle is 26.5 cms.

Finalized Answer:

• The breadth of rectangle is 21.5 cms.
• The length of rectangle is 26.5 cms.