Question

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

Step-by-step explanation:

Length of the square =64 m

Length of the rectangle =70 m

Perimeter of the square =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=4060 sq. m

Area of the square = length × breadth =64×64=4096 sq.m

Square has more area by 36 sq. m.

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Answer 2

$\huge \ \mathfrak{answer}$

Length of the square = 64 m

Length of the rectangle =70 m

Perimeter of the square =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

⇒BREADTH = 58 m

Area of the rectangle

=58×70

=4060 sq. m

Area of the square = length × breadth =64×64

=4096 sq.m

Square has more area by 36 sq. m.