Bissoy.com
Doctors Medicines MCQs Q&A

The length and breadth of a photo frame is 8 cm × 6 cm. If both the dimensions are increased in the same proportion, what will be the difference in the length and breadth of the frame, when the perimeter of the frame becomes 112 cm?

The length and breadth of a photo frame is 8 cm × 6 cm. If both the dimensions are increased in the same proportion, what will be the difference in the length and breadth of the frame, when the perimeter of the frame becomes 112 cm? Correct Answer 8 cm

Given:

Length of frame = 8 cm

Breadth of frame = 6 cm

New perimeter of frame = 112 cm

Formula Used:

Perimeter of frame = 2 × (l + b)

where, l → Length of frame, b → Breadth of frame

Calculations:

Perimeter of frame = 2 × (l + b)

⇒ Perimeter of frame = 2 × (8 + 6) 

⇒ Perimeter of frame = 28 cm      ----(1)

New perimeter of frame = 112 cm      ----(2)

New perimeter of frame/Initial perimeter of frame = 112/28

⇒ (2)/(1) = 4

Difference between length and breadth initially = (8 – 6) = 2 cm

⇒ Difference between length and breadth after increase = 2 × 4 = 8 cm

∴ The difference in the length and breadth of the frame after increase is 8 cm.

Related Questions

Which one of the following four addresses is NOT EXACTLY same as the one given below?  Tuna Mahallesi, Sanat Caddesi No: 17/112 Selçuklu Iş Merkezi Bornova 35090 Izmir, Turkey (i) Tuna Mahallesi, Sanat Caddesi No: 17/112 Selçuklu Iş Merkezi Bornova 35090 Izmir, Turkey (ii) Tuna Mahallesi, Sanat Caddesi No: 17/112 Selçuklu Iş Merkezi Bornova 35090 Izmir, Turkey (iii) Tuna Manallesi, Sanat Caddesi No: 17/112 Selçuklu Iş Merkezi Bornova 35090 Izmir, Turkey (iv) Tuna Mahallesi, Sanat Caddesi No: 17/112 Selçuklu Iş Merkezi Bornova 35090 Izmir, Turkey
When the dimensions of a rectangle, having length and breadth of 25 cm and 16 cm respectively, were increased, its area increased by 62.5%. If the length was increased by 1 cm, find the increase in the breadth of the rectangle.
When the dimensions of a rectangle, having length and breadth of 14 cm and 8 cm respectively, were increased, its area increased by 86.6%. If the length was increased by 5 cm, find the increase in the breadth of the rectangle.
The following question is accompanied by two statements (I) and (II). You have to determine which statement(s) is/are sufficient/necessary to answer the questions. Find the height of the equilateral triangle.  I. Perimeter of the triangle ABC is equal to the perimeter of the rectangle PQRS, whose length and breadth are in the ratio of 5 : 3. II. Perimeter of a square WXYZ is known, which is twice the perimeter of the triangle ABC.
A rectangular room has length and breadth in the ratio 5 ∶ 4, when both sides are increased by 5 m each and have length and breadth in the ratio 16 ∶ 11, when both sides decreased by 4 m each. Find the dimensions of the room(in m).
The difference between the length and the breadth of a blackboard is 8 cm. If the breadth is decreased by 4 cm and the length is increased by 7 cm the areas remains the same. Find the dimensions of the blackboard?
A circular frame with a width of 2 inches surrounds a circular photo with a diameter of 8/ inches Assuring that the area of the frame does not overlap the area of the photo what is the area of the frame?
A middle school mathematics teacher asks his students to construct a rectangle with length 7 cm and breadth 4 cm. As the students completed the task, he further instructs them: (i) increase the length and breadth by 2 cm each and draw to see what figure you get (ii) decrease the length and breadth by 2 cm and draw to see what figure you get (iii) increase the length by 1 cm and decrease the breadth by 1 cm. Can you predict the type of figure without draving? Which principle of Zoltan Dienes theory of mathematics learning is he using in the above activity?
The length and breadth of a rectangle are increased by 10% and 20%, respectively. Due to this, the perimeter has increased by 12%. What is the ratio of length and breadth?
The length of a rectangle is twice that of its breadth. The perimeter of a given rectangle is 90 cm. If length decreased by 5 cm and breadth increased by 5 cm, then the area of the rectangle increased by how much (In cm square)?