Math, asked by nidhisingh74098, 4 months ago

Two plot of land have same perimeter. One is a square of side 60m while other is a rectangle, whose breath is 1.5 dam. which plot has greater area and by how much?




.answer is = Area of square plot greater by 2025 squad m.
.show me expllenation. ​


samsingh6064: dam ka mtlb kya hai
samsingh6064: decameter kya?
samsingh6064: ye bta do sirf
nidhisingh74098: ha

Answers

Answered by samsingh6064
0

Answer:

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Answered by Anonymous
2

Given:-

  • Two plot of land have same perimeter.
  • One is a square with side 60 m
  • The other is a rectangle with breadth = 1.5 dam = 15 m

To Find:-

  • Which plot has greater area and by how much.

Solution:-

Let us first find the perimeter of the square.

We know,

Perimeter of square = 4 × side sq.units.

Hence,

Perimeter of the square field = 4 × 60 = 240 cm.

ATQ,

Perimeter of the square field = Perimeter of rectangular field.

We know,

Perimeter of rectangle = 2(Length + Breadth)

Hence,

240 = 2(L + 15)

⇒240/2 = L + 15

⇒120 = L + 15

⇒L = 120 - 15

⇒L = 105 m

Now,

Let us find the area of rectangular plot and Square plot one by one.

For Rectangular plot,

We know,

Area of rectangle = (Length × Breadth) sq.units

Hence,

Area of plot = 105 × 15

⇒ Area of plot = 1575 m²

For Square plot,

We know,

Area of square = (side)²

Hence,

Area of plot = (60)²

⇒Area of the plot 3600 m²

Here we can clearly see that

Area of square plot > Area of rectangular plot.

Difference between the area of both the plots:-

= 3600 - 1575 = 2025 m²

The area of the square plot is greater than the area of the rectangular plot by 2025 .

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