Question

. Sind the area and perimeter of a square plat
Of land, the length of whose diagonal is 15 meters give your answers correct to 2 places of decimals​

Answer 1

Answers

✳ Area of the square plot of land = 112.50 m².

✳ Perimeter of the square plot of land = 42.44 m.

CORRECTED QUESTION

Find the area and perimeter of a square plot of land, the length of whose diagonal is 15 meters give your answers correct to 2 places of decimals​.

SOLUTION

Let us assume that the side of the square = 'x' m.

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large x\ m}\put(4.4,2){\bf\large x\ m}\end{picture}$

∵ We know that all side of the square are equal,

∴ 15² = x² + x²

$\implies$ 225 = 2x²

$\implies \sf x^{2} = \dfrac{225}{2}$

$\implies$ x² = 112.50

$\implies$ x = √112.50

$\implies$ x = 10.6066 m.

On correcting to two decimal ,

Side of the square (x) plot of land = 10.61 m.

The Square Plot Of Land

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large 10.61 m}\put(4.4,2){\bf\large 10.61 m}\end{picture}$

AREA OF THE SQUARE PLOT OF LAND

Area of a square = a² (Where a is the side)

Here,

a = 10.61 m.

$\implies$ Area of the square plot of land = (10.61)²

$\implies$ Area of the square plot of land = 112.50 m².

PERIMETER OF THE SQUARE PLOT OF LAND

Perimeter of a square = 4a (Where a is the side)

Here,

a = 10.61 m.

∴ Perimeter of the square plot of land = 4 × 10.61

$\implies$  Perimeter of the square plot of land = 42.44 m.

Answer 2

Answer:

AREA OF THE SQUARE PLOT OF LAND

Area of a square = a² (Where a is the side)

Here,

a = 10.61 m.

\implies⟹ Area of the square plot of land = (10.61)²

\implies⟹ Area of the square plot of land = 112.50 m².

PERIMETER OF THE SQUARE PLOT OF LAND

Perimeter of a square = 4a (Where a is the side)

Here,

a = 10.61 m.

∴ Perimeter of the square plot of land = 4 × 10.61

\implies⟹ Perimeter of the square plot of land = 42.44 m.