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UkoKoshka [18]
2 years ago
5

How much less is the area of a rectangular field 70 by 30 meters than that of a square field with the same perimeter?

Mathematics
1 answer:
dlinn [17]2 years ago
6 0

The area of a rectangular field is 400 meters Less than that of a square field.

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The dimensions of the rectangular field is 70 by 30 meters

The area of the rectangle = length × Width

= 70 x 30

= 2100 m sq.

The perimeter of the rectangle = 2( L + B)

= 2( 70 + 30)

= 200 m

It is given that a square field has the same perimeter.

The perimeter of the square = 4( side)

200 = 4 x side

side = 200/ 4

side = 50 m

Therefore, the area of the square = side x side

= 50 x 50

= 2500 m sq.

The difference between both the areas are;

= 2500 - 2100

= 400

Hence, the area of a rectangular field is 400 meters Less than that of a square field.

Learn more about the area;

brainly.com/question/1658516

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