Question

how many different rectangles with integral measurements can be taken with perimeter as 24 cm?

Answer 1

we know that perimeter of rectangle is

Length + Breadth

so we have to find the set of numbers which by addition provide 24

if we take one
then,
another no should be 23 so till 12 we can make pairs after that repetition starts so answer is 12

Answer 2

6 different rectangles with integral measurements can be taken with perimeter as 24 cm

Solution:

Given,

Perimeter of rectangle = 24 cm

We know,

Perimeter of rectangle = 2(L + B)

Where,

L is the length

B is the breadth

Then,

2(L + B) = 24

L + B = 12

Different possible dimensions are:

L       B

1       11

2      10

3      9

4      8

5      7

6      6

Thus 6 different rectangles can be formed

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