Question

a square and rectangular plot have the same perimeter the length and the breadth of the rectangular plot 160m and 82 m which plot has greater area and by how much​

Answer 1

Answer:

$\begin{gathered} {\sf{ \pink{perimeter \: of \: rectangle=}}}\sf{ \red{2 \: (l + b)}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \sf{ \red{ =2 \: (160 + 82)}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \sf{ \red{=2*242}} \\ \: \ \: \: \: \: \: \: \: \: \: ⠀⠀⠀⠀⠀⠀⠀⠀⠀ \: \: \boxed{\sf{ \red{=464cm}}}\end{gathered}$

Answer 2

Answer:

Perimeter=2(l+b)

P=2(160+82) m

P= 2(242)m

P = 484

So, the perimeter of the square and rectangular plot is 484

Then let's come to the area..

Area = L×B square units

Area = (160 × 82) m²

Area = 13,120 m²

Now let's come to the area of the square..

As, the side(S) of the square is unknown..so let us find it first..

Perimeter of a square = 4×S

S= Perimeter/4

S= 484/4

S= 121

So, each side of the square measures 121 m

Then, area = 121m × 121m

= 14,641 m²

The are of the square plot is greater( 14,641>13,120) by (14,641-13,120) 1,521 m².

Hope it helps uh!❤