Question

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

Answer 1

Answer:

Area of square plot is greater than the area of rectangular field by 100 m².

Step-by-step explanation:

Areaa of square plot is greater than the area of rectangular field by 100 m².

Step-by-step explanation:

Since we have given that

Length of rectangular field = 90 m

Width of rectangular field = 70 m

According to question,

Perimeter of square = Perimeter of rectangular field

\begin{gathered}4\times s=2(90+70)\\\\4s=2\times 160\\\\s=\dfrac{320}{4}\\\\s=80\ m\end{gathered}

4×s=2(90+70)

4s=2×160

s=

4

320

s=80 m

So, Area of rectangular field is given by

\begin{gathered}length\times width\\\\=90\times 70\\\\=6300\ m^2\end{gathered}

length×width

=90×70

=6300 m

2

Area of square is given by

s^2=80^2=6400\ m^2s

2

=80

2

=6400 m

2

Hence, Area of square plot is greater than the area of rectangular field by 100 m².