Question

Two plots of land have the same perimeter. One is a square of side 64 m and the other is a
rectangle of length 70 m. Find the breadth of the rectangular plot. Which plet has the
greater area and by how much?​

Answer 1

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Length of the square = 64m.

Length of the rectangle = 70m.

Perimeter of the suare = 4×Side

= 4×64

= 256 m.

Let breadth of the rectangle = B.

Perimeter of the rectangle = 2(70 +B).

Now, According to question,

2(70 + B) = 256

140 + 2B = 256

2B = 256 - 140

2B = 116

B = 58 m.

Area of the rectangle = 58 × 70 = 4,060 sq m.

Area of the square = length × length

= 64 × 64

= 4096 sq.m.

Square has more area by 36 sq.m.