Question

time will she take in making 5 rounds of the park: 5. A wire is in the shape of a regular pentagon of side 12 cm. It is rebent into the shape of a rectangle whose length is times its breadth. Find the length and the breadth of the rectangle. 3 2​

Answer 1

Answer:

Total Length of Wire = Perimter of Pentagon

= 12 × 5 = 60 cm

Perimeter of Rectangle = 2 (l + b)

Given, l = 3/2 b

Therefore,

2(3/2 b + b) = 60

2 (5b/2) = 60

5b = 60

Breadth b = 12 cm

Length l = 3/2 × 12 = 18 cm

Answer 2

Answer:

According to the question,

Perimeter of square=Perimeter of rectangle

⇒4× side=2(length+breadth)

⇒4×side=2(40+22)

⇒4×side=2×62

⇒ side=

4

2×62

=31cm

Thus, the side of the square is 31cm.

Now, Area of rectangle=length×breadth=40×22=880cm

2

And Area of square=side×side=31×31=961cm

2

Therefore, on comparing, the area of square is greater than that of rectangle.

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