Question

In the adjoining fig-5, the length and breadth of a photo frame are 35 cm and 25 cm. a) Find the length of the wooden strip required to frame a photograph . b) If the cost of wooden strip is Rs 75 per meter, find the total cost of strip required for the frame.

Answer 1

Given :-

Length & Breadth of a photo frame are 35 cm and 25 cm

The cost of wooden strip is Rs. 75 per meter

Required to find :-

• Find the length of the wooden strip required to frame the photograph ?

• The total cost of strip required ?

Solution :-

Length of the photo frame = 35 cm

Breadth of the photo frame = 25 cm

We need to find the length of the wooden strip required .

So,

Here we need to apply a bit of logic.

Since,

For a photo frame we will construct the wooden frame along it's boundary .

So,

If we are able to calculate the total length of the boundary of the photo frame then we can find the total length of the wooden strip required .

Here,

Boundary can be written as the perimeter .

Because,

Perimeter is the sum of all it's sides .

Let's find the perimeter of the photo frame ;

We know that ;

Perimeter of the rectangle = 2 ( Length + Breadth )

This implies ;

Perimeter of the rectangle = 2 ( 35 + 25 )

Perimeter of the rectangle = 2 ( 60 )

Perimeter of the rectangle = 120 cm

Hence,

Length of the wooden strip required = 120 cm

Now,

we need to find the cost of wooden strip ;

Since,

It is mentioned that ;

Cost of wooden strip per meter = Rs. 75

So,

we need to convert the length of the wooden strip required from centi-meters to meters .

we know that ;

1 meter = 100 centi-meters

1 centi-meter = 1/100 meters

This implies ;

120 cm =

=> 120/100

=> 1.2 meters

Hence,

120 cm = 1.2 meters

At last ;

Cost of wooden strip of length 1.2 meters =

=> 1.2 x 75

=> 90

Hence,

Cost of the wooden strip of length 1.2 meters = Rs. 90

Therefore,

Length of the wooden strip required to frame the photograph = 120 cm ( or 1.2 meters )

Cost of the required wooden strip = Rs. 90

Answer 2

$\bigstar$ $\sf{\blue{\underline{\underline{\purple{To\:Find:-}}}}}$

• a) The length of the wooden strip required to frame a photograph .

• b) If the cost of wooden strip is Rs.75 per meter, find the total cost of strip required for the frame .

$\bigstar$ $\sf{\purple{\underline{\underline{\blue{SOLUTION:-}}}}}$

☞ GIVEN :-

• Length of photo frame = 35 cm
• Breadth of photo frame = 25 cm

• The cost of wooden strip per meter is Rs.75

☞ The length of the wooden strip required to frame a photograph means the perimeter of the wooden strip .

☞ FORMULA :-

$\checkmark\:\tt{\underline{\purple{\boxed{\:Perimeter\:=\:2\:{(Length\:+\:Breadth)}\:}}}}$

☞ CALCULATION :-

$\tt{\implies\:Perimeter\:=\:2\times{[35\:+\:25]}\:}$

$\tt{\implies\:Perimeter\:=\:2\times60\:}$

$\tt{\implies\:Perimeter\:=\:120\:cm\:}$

♻️(a) Therefore, The length of the wooden strip required to frame a photograph is “120 cm” or “1.2 m”

(b) Now, to calculate the total cost of the strip required the frame .

☞ According to question, The cost of wooden strip per meter is “Rs. 75” .

$\tt{\implies\:1m\:=\:Rs.\:75\:}$

$\tt{\implies\:120cm\:(or)\:1.2m\:=\:\:1.2\times75\:}$

$\tt{\implies\:1.2m\:=\:Rs.\:90\:}$

♻️ Therefore, Total “Rs.90” cost of strip required for the frame .

$\bigstar\:\underline{\boxed{\bf{\red{Required\:Answer\::\:(a)\:(120cm/1.2m)\:\:,(b)\:(Rs.\:90)\:}}}}$