Two plots of land have the same perimeter . One of the plots is in the shape of a square of side length 62m , while the other is in the shape of a rectangle of breath 24 m. Which plot has the greater area and by how much?
Answers
Breath of the rectangle = 24 m.
Perimeter of the square = 4*Side = 4* 62 = 248 m.
Let length of the rectangle = L
Perimeter of the rectangle = 2(L+24).
Now, According to question,
2*(L+24) = 256
2L+ 48 = 256
2L = 256 - 48
2L = 208
L = 104m.
Area of the rectangle = 104 × 24= 2496 sq m.
Area of the square = length * length = 62 *62 = 3844 sq.m.
Square has more area reactangle by 1348 sq.m.
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Secondary School Math 5+3 pts
Two plots of land have the same perimeter . One of the plots is in the shape of a square of side length 62m , while the other is in the shape of a rectangle of breath 24 m. Which plot has the greater area and by how much?
Report by Mannan8021 07.01.2019
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Length of the square = 62 m.
Breath of the rectangle = 24 m.
Perimeter of the square = 4*Side = 4* 62 = 248 m.
Let length of the rectangle = L
Perimeter of the rectangle = 2(L+24).
Now, According to question,
2*(L+24) = 248
2L+ 48 = 248
2L = 248 - 48
2L = 208
L = 104m.
Area of the rectangle = 104 × 24= 2496 sq m.
Area of the square = length * length = 62 *62 = 3844 sq.m.
Square has more area reactangle by 1348 sq.m.
3844-2400=1444