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Answer :

We know that Perimeter of square=\(4\times side=4\times 60=240m\)

Also, we have perimeter of rectangle=2(l+b)

Given that these both have same parimeter.

Therefore, we can say that:

perimeter of rectangle=Perimeter of square

\(2(l+b)=240\)

\(\Rightarrow 2(80 + b) = 240\)

\(\Rightarrow 160+2b = 240\)

\(\Rightarrow 2b=240-160=80\)

\(\Rightarrow b=40m\)

Hence we have, Area of figure (a) i.e, square =\( (side)^2\) = \(60 \times 60 = 3600 m^2\)

Area of figure (b) i.e, rectangle =\( l \times b = 80 \times 40 = 3200 m^2\)

So, the area of figure (a) i.e, square is more than the area of figure (b) i.e, rectangle.

- 2.Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per \(m^2\).
- 3.The shape of a garden is rectangular in the middle and semicircular at the ends as shown in the diagram. Find the area and the perimeter of this garden. [Length of rectangle is 20 – (3.5 + 3.5) metres]
- 4.A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m2? (If required you can split the tiles in whatever way you want to fill up the corners).
- 5.An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round? Remember, the circumference of a circle can be obtained by using the expression C = \(2\pi r\), where r is the radius of the circle.

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