Question

A rectangular picture frame is 54 cm long and 36 cm wide. What will be the length of the wooden frame required to make it?

Answer 1

Hint: Visualize the question as a normal rectangle problem. We know the values of the length and width of the rectangle. We need to find the perimeter of the rectangle as our answer. If a rectangle of length a and width b. Then the perimeter of the rectangle is, 2\[ \times \] (a\[ + \]b).

Complete step-by-step solution:
Here, the rectangular frame is 54 cm long and 36 cm wide.
So, the length of the rectangular frame is 54 cm and width is 36 cm.
We can visualize it like this,
                  

                                                     A rectangular picture frame
The length of the wooden frame required to cover this picture frame is nothing but the sum of the sides of the rectangular picture frame i.e. the perimeter of the rectangular picture frame.
So, the length of the wooden frame = the perimeter of the rectangular picture frame
= \[2 \times \](length \[ + \] width) unit.
 = \[2 \times \left(54+36\right)\] cm.
= \[2 \times 90\] cm.
= $180$ cm.

Note: Many students make mistakes as they could not visualize the question and could not understand the required solution for this type of question. Students may misunderstand the question and find the area of the rectangular shape which has not been asked in the question. One can also visualize this type of question like, there is a rectangular garden of length x and width y. What length of wood we need to fence the garden. Here we don’t need to calculate any area. We just need to calculate the perimeter of the rectangular garden.