16. Two plots of land each have same perimeter. One is square of side

1.	16. Two plots of land each have same perimeter. One is square of side 60 cm while the other is arectangle whose breadth is 1.5 m. which of the plots has greater area and by how much?
Answer» 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.

16. Two plots of land each have same perimeter. One is square of side 60 cm while the other is arectangle whose breadth is 1.5 m. which of the plots has greater area and by how much?

Answer»

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.