Question

 A piece of wire is 144 cm long. Whatwill be the length of each side if the wire
is used to form:
a) a rectangle having breadth 34 cm..

​

Answer 1

SOLUTION

GIVEN

 A piece of wire is 144 cm long.

TO DETERMINE

The length of each side if the wire is used to form:

a) a rectangle having breadth 34 cm

EVALUATION

Here it is given that a piece of wire is 144 cm long.

Now the wire is used to form a rectangle having breadth 34 cm

Breadth = B = 34 cm

Let Length = L cm

So by the given condition

$\sf{2(L + 34) = 144}$

$\sf{ \implies \: (L + 34) = 72}$

$\sf{ \implies \: L = 72 - 34}$

$\sf{ \implies \: L = 38}$

Hence the required length = 38 cm

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Answer 2

Given : A piece of wire is 144 cm long

the wire is used to form:

a) a rectangle having breadth 34 cm.

b) a regular octagon.​

To Find : length of each side

Solution:

Perimeter of rectangle = 2 ( l + b)

l = length

b = breadth  = 34 cm

Perimeter = wire length  = 144 cm

=> 2( l + 34) = 144

=> l + 34 = 72

=> l = 38

Length of side of rectangle  = 38 cm

Side of octagon = a

Perimeter of octagon = 8a

8a  = 144

=> a  = 18  

Length of each side of octagon = 18 cm

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