Question

. Two plots of land have the same perimeter. One is a square of side 60m, while the other is a
rectangle of breadth 15m. Which plot has the greater area and by how much

Answer 1

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Length of the square = 60m.

Breadth of the rectangle = 15m.

Perimeter of the suare =

4*Side = 4* 60 = 240 m.

Let length of the rectangle = B

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

Now, According to question,

2*(15 + B) = 240

30 + 2B = 240
2B = 210
B = 105

B = 105 m.

Area of the rectangle = 15 *105 = 1575 sq m.

Area of the square = length * length = 60 *60 = 3600 sq m.

Square has more area by :

= 3600 - 1575 sq.m.
= 2025 sq.m.

Answer 2

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