Question

The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?
A.10
B.14
C.38
D.48

Answer 1

38 is the correct answer.

Answer 2

Concept:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

Hypotenuse²= Perpendicular² + Base²

c² = a² + b²

Perimeter of a rectangle= 2(length +breadth)

Given:

The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat.

Find:

How much total distance is covered by the cat?

Solution:

Length of a diagonal =√(8² + 6²)

                                   =10 m

Perimeter of a rectangle = 2(8+6)

                                         = 28m

Total distance travelled by the cat = 28 +10

                                                        = 38 m

Therefore, the total distance covered by the cat = 38m

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