Question

Lesson name- perimeter and area

Two plots of land, one square and other rectangle have same perimeter. If the rectangular field is of size 90 metre by 70 metre, which plot has the greater area and by how much?

Please send the answer with explanation..

Answer 1

Area of square is more and by 100 m^2

Hey mate this may help you-

Given-

Perimeter(square)=Perimeter(rectangle)

Dimensions of rectangle = 90 m and 70 m

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Solution-

Perimeter of rectangle = 2(l+b)

=2(90+70)

=2(160)

=320 m

Perimeter of rectangle = Perimeter of square

(Given)

Therefore perimeter of square = 320 m

Perimeter of square = 4 x side

320= 4s

s=320/4

s=80 m

Side of square = 80 m

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Now,

Area of rectangle = L x B

= 90 x 70

=6300 m^2

Area of square = S^2

=80^2

=6400 m^2

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Therefore,

The area of square is more and by 100 m^2.

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Hope this may help you.