Question

the ratio of length of a rectangular field is 4:3 if its diagonal is the area of field in square meters is

Answer 1

The ratio of length to breadth of a rectangular field is 4:3 if its diagonal is 200,the area of the field in square meters

Answer:

Area of the field is 19200 m²

Step-by-step explanation:

lets take length x, then

Length of rectangular field= 4x m

Breath of rectangular field = 3x m

Diagonal of rectangular field=200m

Using  Pythagoras theorem

$Diagonal ^2=length ^2 +breadth ^2\\200^2=(4x)^2+(3x)^2\\200^2=16x^2+9x^2\\200^2=5^2 x^2\\x^2=\frac{200^2}{5^2} \\x=\frac{200}{5} \\x= 40 m$

Length= 4 x40=160 m

Breadth=3x40=120

Area of field = length x breadth

A=160x120

A=19200 m²

Area of the field is 19200 m²