Question

A square whose side is 60m and a rectangular field with length 80m have the same perimeter. Which field has a larger area?

Answer 1

Step-by-step explanation:

$\huge{\underline{\pink{✤Question:-}}}$

A square whose side is 60m and a rectangular field with length 80m have the same perimeter. Which field has a larger area

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Which field has a larger area

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square:

side of square=60m

formula used for area:

• (side)^2

area of square=(60)^2

=3600m^2

formula used for perimeter:

• (side)×4

perimeter of square=4(60)

=240m

rectangle:

length=80m

let breadth=B

formula used for perimeter:

• 2(l+B)

perimeter of rectangle=240m

equation for Breadth:

240=2(80+B)

=>240/2=80+B

=>120-80=B

=>B=40

Breadth=40m

formula used for area:

• L×B

area of rectangle=80×40

=2400m^2

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Answer 2

${\Large{\bold{Answer :-}}}$

Side of a square = 60 m (Given)

And the length of rectangular field, l = 80 m (Given)

According to question,

Perimeter of rectangular field = Perimeter of square field

2(l+b) = 4×Side (using formulas)

2(80+b) = 4×60

160+2b = 240

b = 40

Breadth of the rectangle is 40 m.

Now, Area of Square field

= (side)²

= (60)² = 3600 m²

And Area of Rectangular field

= length×breadth = 80×40

= 3200 m²

• Hence, area of square field is larger.

Hope it Helps !!