Question

18. Two plots of land have the same perimeter. One is a square of side 60 m, while the other is a rectangle
whose breadth is 1.5 dam. Which plot has the greater area and by how much?​

Answer 1

Square perimeter = 4a = 4*60 = 240 m
Square area = 60*60 = 3600 m2

Rectangle perimeter = 2(l+b)
240 = 2(l+15)
120-15=l
l=105

Area = 105*15 = 1575m
Square has larger area

Answer 2

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Two plots of land have the same perimeter. One is a square of side 60 m, while the other is a rectanglewhose breadth is 1.5 dam. Which plot has the greater area and by how much?

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Length of the square = 60m.

Length of the rectangle = 1.5 dam

=1.5*10 m

=15 m

Perimeter of the square

= 4*Side

= 4* 64

= 256 m.

Let breadth of the rectangle = B.

Perimeter of the rectangle = 2(15 +B).

Now, According to question,

2*(15 + B) = 256

30 + 2B = 256

2B = 256 - 30

B = 113

B = 113 m.

Area of the rectangle = 113 *15 = 1695 sq m.

Area of the square = length * length = 64 *64

= 4096 sq.m

Square has more area by 2401 sq.m.

More to know :

• The perimeter of a square is the total length of all the sides of the square.
• Hence we can find the perimeter of a square by adding all its four sides.