Question

The ratio of length to breadth of a a rectangular field is 4:3 .If it's diagonal is 200 m,the area of the field in square meters is​

Answer 1

Answer:

19200m²

Step-by-step explanation:

LET LENGTH = 4x

BREADTH = 3x

SO A TRIANGLE FORMED BY LENGTH BREADTH & DIAGONAL OF A TRIANGLE IS RIGHT ANGLED TRIANGLE

SO BY PYTHAGORAS THEOREM

(Hypt)²=(Base)²+(Perp)²

(200)²= (4x)²+(3x)²

40000= 16x²+9x²

40000= 25x²

1600= x²

40= x

LENGTH = 4×40=160

BREADTH= 3×40= 120

AREA= LENGTH × BREADTH

= 160× 120

= 19200m²

hope it helps

mark me the brainliest

Answer 2

Answer:

here is your answer

area =19200m²

Step-by-step explanation:

length of rectangular field =4xm

breath of rectangular field =3xm

diagonal of rectangular field = 200 m

area of field 4x ×3x

=12x²

= now Pythagoras theorem

200²=4²x²+3²x²

200² = 5² x ²

x=40

so

area of field =12 × 40²

19200 m²

hope it helps you