Question

measurements as given in the figure have the same
square and a rectangular field with
perimeter. Which field has a larger area?​

Answer 1

Answer:

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Hence, area of square field is larger.

Answer 2

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Answer:

Square has larger area.

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Step-by-step explanation:

Given:

Perimeter of Square = Perimeter of Rectangle

One side of Square = 60

Length of Rectangle = 80

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To Find:

Which field has a larger Area :

Perimeter of Square = 4 x Side

Perimeter of this square = 4 x 60

                                         = 240cm

Perimeter of Rectangle = 2 x ( length + breadth )

240 = 2 x ( 80 + x )

{We already got 240 as perimeter because in the question it says perimeter of the rectangle and square is EQUAL.}

240 = 160 + 2x {Here we multiplied 2 with the numbers in the bracket.}

240 - 160 = 2x

80 = 2x

$\frac{80}{2}$ = x {Divide 80 by 2}

40cm = x

Therefore, we found the breadth of the rectangle which is = 40cm

Area of Square = Side x Side

Area of this Square = 60 x 60

                                = 3600cm²

Area of Rectangle = Length x Breadth

Area of this Rectangle = 80 x 40

                                     = 3200cm²

3600cm² Is greater than 3200cm²

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Solution:

Therefore, The Square has more area than the Rectangle.

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