answer of
find the area is rectangular field whose length is 35 cm and diagonal is 37 cm
Answers
Step-by-step explanation:
by using Pythagoras theorem,
the breadth^2=diagonal^2-length^2
= 37^2-35^2
=1368-1225
=144
breadth= 12
area of rectangle =l*b
=35*12
=420cm^2
Given :-
➠Length of rectangle = 35 cm
➠diagonal of rectangle = 37 cm
Find :-
➠Area of rectangle
Solution :-
First we need to find breadth of rectangle
so , lets breadth be B.
Here, length ( L ) = 35 cm
and diagonal ( D ) = 37 cm
Using Pythagoras theorem
{ D }² = ( B )² + ( L )²
( B ) ² = ( 37 cm ) ² - ( 35 cm ) ²
( B ) ² = 1369cm²- 1255cm²
( B )² = 144cm
B = √144
B = 12 cm
Hence, the breadth of rectangle is 12 cm.
Now,
Area of rectangle = length × breadth
= 35 cm × 12 cm
➠ = 420 cm ²
Therefore, The Area of rectangle is 420 cm ².